Question 1

If the US$ per £ exchange rate increases by US$0.006 from its value US$1.00 = ₤0.6586, what will be the change in the £ per US$ exchange rate?

Accepted Answer

The answer of If the US$ per £ exchange rate...

Question 2

Express the following ratio in its lowest terms:
$\frac{4}{3}: \frac{3}{2}$

Accepted Answer

The answer of Express the following ratio in its lowest...

Question 3

Kristina, Larissa, and Marika invested $50,000, $80,000 and $100,000 respectively in a fashion retail business. What is the ratio of Kristina's to Larissa's to Marika's investment in lowest terms?

Accepted Answer

The answer of Kristina, Larissa, and Marika invested $50,000, $80,000...

Question 4

A provincial government budget forecasts expenditures of $10.4 billion on education, $9.1 billion on health services, and $6.6 billion on social services. Express the three budget items as a ratio without decimals, in lowest terms.

Accepted Answer

The answer of A provincial government budget forecasts expenditures of...

Question 5

Julia's punch recipe consists of ½ ginger ale, ⅓ orange juice, and 1/6 secret ingredient. Express the three ingredients as a ratio in lowest terms.

Accepted Answer

The answer of Julia's punch recipe consists of ½ ginger...

Question 6

Mrs Cohen invested $20,000 in bonds, $15,000 in stocks and $12,000 in common shares. What is the ratio of bonds to stocks to common shares in lowest terms?

Accepted Answer

The answer of Mrs Cohen invested $20,000 in bonds, $15,000...

Question 7

In one year, the CPI increased from 106.3 to 108.9. How much money was required at the end of the year in order to have the same purchasing power as $1,000 at the beginning?

Accepted Answer

The answer of In one year, the CPI increased from...

Question 8

The Borellis wish to purchase a larger house to accommodate their growing family. The current year's property tax on their home amounts to $3,545 based on its assessed value of $328,000. The assessed value of a property they are seriously considering is $437,000. What property tax can the Borellis expect to pay on this home if property taxes are in the same ratio as assessed values?

Accepted Answer

The answer of The Borellis wish to purchase a larger...

Question 9

A college student wishes to compare tuition fee increases during the period 2003 to 2015to the general increase in the cost of living. Tuition increased from $345 per course in the 2003/2004 academic year to $515 per course in the 2015/2016 academic year. The CPI rose from 95.4 at the end in 2003 to 121.7 at the end of 2015. What would tuition fee per course have been in the 2015/16 year if tuition increases had merely kept pace with inflation during the 12 years?

Accepted Answer

The answer of A college student wishes to compare tuition...

Question 10

Three years ago, when the CPI was at 102.6, the members of a union were earning $22.25 per hour. Now, with the current CPI at 108.4, they are negotiating for a new hourly rate that will restore their former purchasing power. What hourly rate are they seeking?

Accepted Answer

The answer of Three years ago, when the CPI was...

Question 11

The "basket" of goods and services included in the Consumer Price Index cost $21,350 on the base date. Eight years later, the same basket cost $26,090. What was the CPI on the latter date?

Accepted Answer

The answer of The "basket" of goods and services included...

Question 12

Marion took orders for gift-wrapping packages at Christmas. Of the 2,080 orders, 45% of customers preferred red paper and ribbon, 30% preferred green, and 25% preferred blue or white. What is the ratio of sales for red, green and blue or white gift-wrapping packages in lowest terms?

Accepted Answer

The answer of Marion took orders for gift-wrapping packages at...

Question 13

If C$1.00 rises from ¥87.94 to ¥89.78, what will be the change in the C$ price to an importer of a ¥2,965,000 car?

Accepted Answer

The answer of If C$1.00 rises from ¥87.94 to ¥89.78,...

Question 14

Solve the following proportions for the unknown quantities:
$x: 3600: y=\frac{4}{5}: \frac{2}{3}: \frac{7}{4}$

Accepted Answer

The answer of Solve the following proportions for the unknown...

Question 15

A high-definition movie lasting 1 hour and 45 minutes consumed 4.5 Gb of memory on the hard drive of a TiVo personal video recorder (PVR). Rounded to the nearest minute, what is the maximum duration of high-definition recording that could be saved on the PVR's 80-Gb hard drive?

Accepted Answer

The answer of A high-definition movie lasting 1 hour and...

Question 16

From the end of 2014 until the end of 2016, the S&P/TSX Composite Index rose from 8934 to 12,434. If you had invested $50,000 in a portfolio of the shares of the companies in the Index at the end of 2014, what would the value of those shares have been at the end of 2016? (This calculation considers only the price appreciation of the original shares. It does not include the portion of the growth in the portfolio's value resulting from the receipt and reinvestment of dividends.)

Accepted Answer

The answer of From the end of 2014 until the...

Question 17

The West Essex School Board employs 348 teachers for the 7,412 students registered in the district's schools in the current year. The enrolment forecast for next year is 7,780 students. Assuming the same student-teacher ratio for the next year, how many additional teaching positions must the board fill?

Accepted Answer

The answer of The West Essex School Board employs 348...

Question 18

Stanford Marketing raised $2.1 million to launch its new product line. Preferred shareholders contributed $600,000, common shareholders $1 million, and the remainder was borrowed. Express the three sources of funds as a ratio in lowest terms.

Accepted Answer

The answer of Stanford Marketing raised $2.1 million to launch...

Question 19

Express the following ratio in its lowest terms:
$1 \frac{1}{4}: 1 \frac{2}{3}$

Accepted Answer

The answer of Express the following ratio in its lowest...

Question 20

Express the following ratio in its lowest terms:
$\frac{1}{15}: \frac{1}{5}: \frac{1}{10}$

Accepted Answer

The answer of Express the following ratio in its lowest...

Quiz 3: Ratios and Proportions

If the US$ per £ exchange rate increases by US$0.006 from its value US$1.00 = ₤0.6586, what will be the change in the £ per US$ exchange rate?

Express the following ratio in its lowest terms: 43:32\frac{4}{3}: \frac{3}{2}34​:23​

Kristina, Larissa, and Marika invested $50,000, $80,000 and $100,000 respectively in a fashion retail business. What is the ratio of Kristina's to Larissa's to Marika's investment in lowest terms?

A provincial government budget forecasts expenditures of $10.4 billion on education, $9.1 billion on health services, and $6.6 billion on social services. Express the three budget items as a ratio without decimals, in lowest terms.

Julia's punch recipe consists of ½ ginger ale, ⅓ orange juice, and 1/6 secret ingredient. Express the three ingredients as a ratio in lowest terms.

Mrs Cohen invested $20,000 in bonds, $15,000 in stocks and $12,000 in common shares. What is the ratio of bonds to stocks to common shares in lowest terms?

In one year, the CPI increased from 106.3 to 108.9. How much money was required at the end of the year in order to have the same purchasing power as $1,000 at the beginning?

Three years ago, when the CPI was at 102.6, the members of a union were earning $22.25 per hour. Now, with the current CPI at 108.4, they are negotiating for a new hourly rate that will restore their former purchasing power. What hourly rate are they seeking?

The "basket" of goods and services included in the Consumer Price Index cost $21,350 on the base date. Eight years later, the same basket cost $26,090. What was the CPI on the latter date?

Marion took orders for gift-wrapping packages at Christmas. Of the 2,080 orders, 45% of customers preferred red paper and ribbon, 30% preferred green, and 25% preferred blue or white. What is the ratio of sales for red, green and blue or white gift-wrapping packages in lowest terms?

If C$1.00 rises from ¥87.94 to ¥89.78, what will be the change in the C$ price to an importer of a ¥2,965,000 car?

Solve the following proportions for the unknown quantities: x:3600:y=45:23:74x: 3600: y=\frac{4}{5}: \frac{2}{3}: \frac{7}{4}x:3600:y=54​:32​:47​

A high-definition movie lasting 1 hour and 45 minutes consumed 4.5 Gb of memory on the hard drive of a TiVo personal video recorder (PVR). Rounded to the nearest minute, what is the maximum duration of high-definition recording that could be saved on the PVR's 80-Gb hard drive?

Stanford Marketing raised $2.1 million to launch its new product line. Preferred shareholders contributed $600,000, common shareholders $1 million, and the remainder was borrowed. Express the three sources of funds as a ratio in lowest terms.

Express the following ratio in its lowest terms: 114:1231 \frac{1}{4}: 1 \frac{2}{3}141​:132​

Express the following ratio in its lowest terms: 115:15:110\frac{1}{15}: \frac{1}{5}: \frac{1}{10}151​:51​:101​

Express the following ratio in its lowest terms: $\frac{4}{3}: \frac{3}{2}$

Solve the following proportions for the unknown quantities: $x: 3600: y=\frac{4}{5}: \frac{2}{3}: \frac{7}{4}$

Express the following ratio in its lowest terms: $1 \frac{1}{4}: 1 \frac{2}{3}$

Express the following ratio in its lowest terms: $\frac{1}{15}: \frac{1}{5}: \frac{1}{10}$