Question 1

A group of 100 adults were asked what type of cake was their favorite. The circle graph shows the results. 
-What percent preferred chocolate cake?

Accepted Answer

The correct answer is 43%, which is directly stated as a percentage and does not require conversion from a fraction or other form.

Question 2

A group of 100 adults were asked what type of cake was their favorite. The circle graph shows the results. 
-What type of cake was preferred by the fewest adults? What percent preferred this type of cake?

Accepted Answer

The answer of A group of 100 adults were asked...

Question 3

Solve.
-Four out of 10 adults in a certain city buy their drugs at large drug stores. If this city has 34,000 adults, how many of these adults would you expect to buy their drugs at large drug stores?

Accepted Answer

If 4 out of 10 adults buy their drugs at large drug stores, that means the proportion is 4/10 or 0.4. To find out how many of the 34,000 adults buy their drugs at large drug stores, we can multiply:
0.4 x 34,000 = 13,600
Therefore, we can expect 13,600 adults to buy their drugs at large drug stores. To find the number of adults who would buy their drugs at large drug stores, we need to multiply the total number of adults in the city by the fraction who buy their drugs at large drug stores:
 (4/10) x 34,000 = 13,600 adults. Therefore, the answer is C.

Question 4

Solve.
-In a survey of 100 people, 46 preferred mustard on their hot dogs. What percent preferred mustard?

Accepted Answer

46 out of 100 people preferred mustard, which directly translates to 46%.

Question 5

Solve.
-A dart player made 60 bull's eyes out of 100 attempted throws. What percent of the throws were bull's eyes?

Accepted Answer

The player made 60 bull's eyes out of 100 attempts, which is a 60/100 ratio. Simplifying this ratio gives 0.60, which when converted into a percentage is 60%.

Question 6

Solve.
-The gasoline/oil ratio for a certain lawn mower is 20 to 1. If 1 gallon equals 128 fluid ounces, how many fluid ounces of oil should be mixed with 4 gallons of gasoline? Round the answer to the nearest whole ounce.

Accepted Answer

To find the ratio of gasoline to oil we convert 20 to 1 to the fraction 20/1 or 20 parts gasoline to 1 part oil. 
This means for every 21 parts of the mixture, 20 parts are gasoline and 1 part is oil. 
So, for 4 gallons of gasoline we need to add 1/20th of that amount of oil. 
(1/20) x 4 gallons = 0.2 gallons of oil 
Now we need to convert gallons to fluid ounces. 
0.2 gallons x 128 fluid ounces/gallon = 25.6 fluid ounces 
Rounding to the nearest whole ounce gives us an answer of 26 fluid ounces. To determine how much oil should be mixed with 4 gallons of gasoline, we need to set up a proportion using the gasoline/oil ratio.

20 to 1 means that for every 20 parts of gasoline, we need 1 part of oil. So, we can set up the proportion:

20/1 = 4(x)/128

Simplifying, we get:

x = 26

So, we need 26 fluid ounces of oil to mix with 4 gallons of gasoline. Rounded to the nearest whole ounce, the answer is 26 fluid ounces. Therefore, the best choice is B.

Question 7

Write the percent as a decimal.
-60%

Accepted Answer

To convert percentage to decimal, we move the decimal point two places to the left. Therefore, 60% is equal to 0.6 as a decimal. To convert a percent to a decimal, move the decimal point two places to the left. In this case, moving the decimal point two places to the left gives us 0.6.

Question 8

Write the percent as a decimal.
-6.5%

Accepted Answer

To convert a percent to a decimal, move the decimal point two places to the left. So, 6.5% as a decimal is 0.065. Therefore, the answer is C. To convert a percent to a decimal, we move the decimal point two places to the left. So, 6.5% is equal to 0.065. Therefore, the correct choice is C.

Question 9

Solve.
-It is recommended that there be at least 19 square feet of work space for every person in a conference room. A certain conference room is 17' by 18'. Find the maximum number of people the room can accommodate.

Accepted Answer

The area of the conference room is 17' * 18' = 306 square feet. Dividing this by the recommended 19 square feet per person gives 306 / 19 = 16.1. Since you can't have a fraction of a person, the maximum number of people the room can accommodate is 16.

Question 10

Write the percent as a decimal.
-18%

Accepted Answer

To convert percent to decimal, we move the decimal point two places to the left. So, 18% as a decimal is 0.18. Thus, the answer is D. To convert a percent to a decimal, we move the decimal point two places to the left. Therefore, 18% as a decimal is 0.18. The correct answer is D.

Question 11

Write the percent as a decimal.
-687%

Accepted Answer

To convert a percent to a decimal, divide by 100. Thus, 687% = 687/100 = 6.87.

Question 12

Solve.
-The adult daily dosage for a certain medicine is 150 mg (milligrams)for every 20 pounds of body weight. If the patient weighs 160 pounds and he is to receive a dose of this medicine every 4 hours, find the amount of
Medicine he should receive in each dose.

Accepted Answer

We can use the given formula to calculate the amount of medicine the patient should receive in each dose:

Dose = (weight/20) x 150 mg

Substituting the given values:
Dose = (160/20) x 150 mg
Dose = 8 x 150 mg
Dose = 1200 mg

However, the question asks for the amount of medicine the patient should receive every 4 hours. We calculated the total daily dose above (1200 mg), so we need to divide this by the number of doses per day. Since the patient is receiving a dose every 4 hours, there are 24/4 = 6 doses per day.

Amount per dose = Total daily dose / Number of doses per day
Amount per dose = 1200 mg / 6
Amount per dose = 200 mg

Therefore, the patient should receive 200 mg of medicine in each dose. The answer is (D). The patient weighs 160 pounds, which is 8 times the 20 pounds used as the basis for the dosage. Therefore, the patient should receive 8 times the adult daily dosage, which is 8*150 = 1200 mg per day. 
Since the medicine is to be given every 4 hours, he will receive it 6 times a day (24 hours divided by 4 hours). 
Therefore, the amount he should receive in each dose is 1200 mg per day divided by 6 doses per day, which equals 200 mg per dose. 
So the answer is D, 200 mg.

Question 13

Write the percent as a decimal.
-88.4%

Accepted Answer

To convert a percent to a decimal, move the decimal point two places to the left. Therefore, 88.4% as a decimal is 0.884. To convert a percent to a decimal, divide by 100. Therefore, 88.4% as a decimal would be 0.884. Choice B is incorrect because it's too small (it's less than 1%). Choice D is also incorrect because it's too large (it's greater than 100%). Choice A is incorrect because it's still in percent form.

Question 14

Solve.
-Yearly homeowner property taxes are figured at a rate of $1.55 tax for every $100 of home value. Find the property taxes on a condominium valued at $131,000.

Accepted Answer

The answer of Solve.
-Yearly homeowner property taxes are figured at...

Question 15

Write the percent as a decimal.
-3%

Accepted Answer

To convert a percentage to a decimal, divide by 100. Therefore, 3% as a decimal is 0.03.

Question 16

Solve.
-A solution strength of 8 mg of medicine in 1 mL of solution is available. If a patient needs 14 mg, how many mL do you administer?

Accepted Answer

To find out how many mL is needed, we can set up a proportion:
8 mg/1 mL = 14 mg/x mL
Cross-multiplying, we get:
8x = 14
x = 14/8
x = 1.75
Therefore, we need to administer 1.75 mL. To administer 14 mg with a solution strength of 8 mg/mL, we need to use the formula:

Amount of medicine = Solution strength x Volume of solution

Let x be the volume of solution we need to administer. Then:

14 mg = 8 mg/mL x x

x = 1.75 mL

Therefore, the answer is D.

Question 17

Write the percent as a decimal.
-$90 \frac { 1 } { 2 } \%$

Accepted Answer

To convert a percentage to a decimal, divide by 100. $90 \frac{1}{2} \%$ is equivalent to 90.5%, which is 90.5 divided by 100, resulting in 0.905.

Question 18

Write the percent as a decimal.
-100%

Accepted Answer

To convert a percent to a decimal, move the decimal point two places to the left. In this case, 100% would become 1.00, which is represented as C. To convert percent to decimal, divide by 100. Therefore, 100% = 100/100 = 1. Option C is the only one that matches this result.

Question 19

Solve.
-In a survey of 100 people, 37 preferred caramel syrup on their ice cream. What percent preferred caramel syrup?

Accepted Answer

37 out of 100 people preferred caramel syrup, which directly translates to 37%.

Question 20

Solve.
-A basketball player made 52 out of 100 attempted free throws. What percent of free throws was made?

Accepted Answer

The player made 52 out of 100 attempts, which directly translates to 52%, as percentages are calculated by the formula (part/whole)*100.

Quiz 5: Ratio, Proportion, and Percent

Solve. -Four out of 10 adults in a certain city buy their drugs at large drug stores. If this city has 34,000 adults, how many of these adults would you expect to buy their drugs at large drug stores?

Solve. -In a survey of 100 people, 46 preferred mustard on their hot dogs. What percent preferred mustard?

Solve. -A dart player made 60 bull's eyes out of 100 attempted throws. What percent of the throws were bull's eyes?

Solve. -The gasoline/oil ratio for a certain lawn mower is 20 to 1. If 1 gallon equals 128 fluid ounces, how many fluid ounces of oil should be mixed with 4 gallons of gasoline? Round the answer to the nearest whole ounce.

Write the percent as a decimal. -60%

Write the percent as a decimal. -6.5%

Solve. -It is recommended that there be at least 19 square feet of work space for every person in a conference room. A certain conference room is 17' by 18'. Find the maximum number of people the room can accommodate.

Write the percent as a decimal. -18%

Write the percent as a decimal. -687%

Solve. -The adult daily dosage for a certain medicine is 150 mg (milligrams) for every 20 pounds of body weight. If the patient weighs 160 pounds and he is to receive a dose of this medicine every 4 hours, find the amount of Medicine he should receive in each dose.

Write the percent as a decimal. -88.4%

Solve. -Yearly homeowner property taxes are figured at a rate of $1.55 tax for every $100 of home value. Find the property taxes on a condominium valued at $131,000.

Write the percent as a decimal. -3%

Solve. -A solution strength of 8 mg of medicine in 1 mL of solution is available. If a patient needs 14 mg, how many mL do you administer?

Write the percent as a decimal. - $90 \frac { 1 } { 2 } \%$

Write the percent as a decimal. -100%

Solve. -In a survey of 100 people, 37 preferred caramel syrup on their ice cream. What percent preferred caramel syrup?

Solve. -A basketball player made 52 out of 100 attempted free throws. What percent of free throws was made?