Question 1

The annual net income of the SGR partnership is to be distributed so that Sven receives 30% less than George, and Robert receives 25% more than George. If the past year's net income was $88,880, what amount should be allocated to each?

Accepted Answer

The answer of The annual net income of the SGR...

Question 2

The profits from a partnership are to be distributed so that Grace receives 20% more than Kajsa, and Mary Anne receives five-eighths as much as Grace. How much should each receive from a total distribution of $36,000?

Accepted Answer

The answer of The profits from a partnership are to...

Question 3

A firm received a bill from its accountant for $3,310, representing a combined total of 41 "billable" hours for both the Certified General Accountant (CGA) and her accounting technician, for conducting the firm's audit. If the CGA charges her time at $120 per hour and the technician's time at $50 per hour, how many hours did each work on the audit?

Accepted Answer

The answer of A firm received a bill from its...

Question 4

Use the graphical method to solve the following pair of equations.
x + y = 4
2x - y = 8

Accepted Answer

The answer of Use the graphical method to solve the...

Question 5

Econo Car offers two plans for one-week rentals of a compact car. A rate of $295 per week includes the first 1,000 kilometres. Extra distance costs 15 cents per kilometre. A weekly rate of $389 allows unlimited driving. Rounded to the nearest kilometre, beyond what driving distance is the unlimited driving plan cheaper?

Accepted Answer

The answer of Econo Car offers two plans for one-week...

Question 6

The price tags in Annie's Flower Shop include the 13% Harmonized Sales Tax (HST). How much HST will she report for a plant sold at $39.95?

Accepted Answer

The answer of The price tags in Annie's Flower Shop...

Question 7

Regal Resources owns a 58% interest in a mineral claim. Yukon Explorations owns the remainder. If Regal sells one-fifth of its interest for $1.2 million, what is the implied value of Yukon's interest?

Accepted Answer

The answer of Regal Resources owns a 58% interest in...

Question 8

The annual dues for the Southern Pines Golf Club are $2140 for regular members and $856 for student members. If the total revenue from the dues of 583 members for the past year was $942,028, how many members did the club have in each category?

Accepted Answer

The answer of The annual dues for the Southern Pines...

Question 9

The tickets for a hockey game cost $19.00 for the blue LO and $25.50 for the red LO. If 4,460 tickets were sold for a total of $93,450, how many seats were sold in each LO?

Accepted Answer

The answer of The tickets for a hockey game cost...

Question 10

Mr. Parker structured his will so that each of his four children will receive half as much from the proceeds of his estate as his wife, and each of 13 grandchildren will receive one-third as much as each child. After his death, $759,000 remains after expenses and taxes for distribution among his heirs. How much will each child and grandchild receive?

Accepted Answer

The answer of Mr. Parker structured his will so that...

Question 11

It takes 20 minutes of machine time to manufacture Product X and 30 minutes of machine time to manufacture Product Y. If the machine operated 47 hours last week to produce a combined total of 120 units of the two products, how many units of Y were manufactured?

Accepted Answer

The answer of It takes 20 minutes of machine time...

Question 12

The statistics for a professional accounting program indicate that five-sevenths of those who enter the program complete Level 1. Two-ninths of Level 1 completers do not finish Level 2. If 587 students completed Level 2 last year, how many (including this group of 587) began Level 1?

Accepted Answer

The answer of The statistics for a professional accounting program...

Question 13

The retail price of a pair of skis consists of the wholesale cost to the retailer plus the retailer's markup. If skis retailing for $712 are marked up by 60% of the wholesale cost, what is that wholesale cost?

Accepted Answer

The answer of The retail price of a pair of...

Question 14

A caterer has the following price structure for banquets. The first 20 meals are charged the basic price per meal. The next 20 meals are discounted by $2 each and all additional meals are each reduced by $3. If the total cost for 73 meals comes to $1686, what is the basic price per meal?

Accepted Answer

The answer of A caterer has the following price structure...

Question 15

Use the graphical method to solve the following pair of equations.
x - 3y = 3
y = -2

Accepted Answer

The answer of Use the graphical method to solve the...

Question 16

Use the graphical method to solve the following pair of equations.
y - 3x = 11
5x + 30 = 4y

Accepted Answer

The answer of Use the graphical method to solve the...

Question 17

Alicia pays 38% income tax on any additional earnings. She has an opportunity to work overtime at 1.5 times her base wage of $23.50 per hour. Rounded to the nearest quarter hour, how much overtime must she work to earn enough money (after tax) to buy a canoe that costs $2750 including sales taxes?

Accepted Answer

The answer of Alicia pays 38% income tax on any...

Question 18

Product X requires 30 minutes of machining on a lathe, and product Y requires 45 minutes of machining. If the lathe was operated for 60.5 hours last week for machining a combined total of 93 units of Products X and Y, how many units of each product were produced?

Accepted Answer

The answer of Product X requires 30 minutes of machining...

Question 19

A web site had 2/7 more hits last month than in the same month of the preceding year. If there were 2655 hits last month, how many were there 1 year earlier?

Accepted Answer

The answer of A web site had 2/7 more hits...

Question 20

A stockbroker's commission on a transaction is 2.5% of the first $5,000 of the transaction amount and 1.5% of the remainder. What was the amount of a transaction that generated a total commission of $227?

Accepted Answer

The answer of A stockbroker's commission on a transaction is...

Quiz 2: Review and Applications of Algebra

The annual net income of the SGR partnership is to be distributed so that Sven receives 30% less than George, and Robert receives 25% more than George. If the past year's net income was $88,880, what amount should be allocated to each?

The profits from a partnership are to be distributed so that Grace receives 20% more than Kajsa, and Mary Anne receives five-eighths as much as Grace. How much should each receive from a total distribution of $36,000?

Use the graphical method to solve the following pair of equations. x + y = 4 2x - y = 8

The price tags in Annie's Flower Shop include the 13% Harmonized Sales Tax (HST). How much HST will she report for a plant sold at $39.95?

Regal Resources owns a 58% interest in a mineral claim. Yukon Explorations owns the remainder. If Regal sells one-fifth of its interest for $1.2 million, what is the implied value of Yukon's interest?

The annual dues for the Southern Pines Golf Club are $2140 for regular members and $856 for student members. If the total revenue from the dues of 583 members for the past year was $942,028, how many members did the club have in each category?

The tickets for a hockey game cost $19.00 for the blue LO and $25.50 for the red LO. If 4,460 tickets were sold for a total of $93,450, how many seats were sold in each LO?

It takes 20 minutes of machine time to manufacture Product X and 30 minutes of machine time to manufacture Product Y. If the machine operated 47 hours last week to produce a combined total of 120 units of the two products, how many units of Y were manufactured?

The statistics for a professional accounting program indicate that five-sevenths of those who enter the program complete Level 1. Two-ninths of Level 1 completers do not finish Level 2. If 587 students completed Level 2 last year, how many (including this group of 587) began Level 1?

The retail price of a pair of skis consists of the wholesale cost to the retailer plus the retailer's markup. If skis retailing for $712 are marked up by 60% of the wholesale cost, what is that wholesale cost?

A caterer has the following price structure for banquets. The first 20 meals are charged the basic price per meal. The next 20 meals are discounted by $2 each and all additional meals are each reduced by $3. If the total cost for 73 meals comes to $1686, what is the basic price per meal?

Use the graphical method to solve the following pair of equations. x - 3y = 3 y = -2

Use the graphical method to solve the following pair of equations. y - 3x = 11 5x + 30 = 4y

Alicia pays 38% income tax on any additional earnings. She has an opportunity to work overtime at 1.5 times her base wage of $23.50 per hour. Rounded to the nearest quarter hour, how much overtime must she work to earn enough money (after tax) to buy a canoe that costs $2750 including sales taxes?

Product X requires 30 minutes of machining on a lathe, and product Y requires 45 minutes of machining. If the lathe was operated for 60.5 hours last week for machining a combined total of 93 units of Products X and Y, how many units of each product were produced?

A web site had 2/7 more hits last month than in the same month of the preceding year. If there were 2655 hits last month, how many were there 1 year earlier?

A stockbroker's commission on a transaction is 2.5% of the first $5,000 of the transaction amount and 1.5% of the remainder. What was the amount of a transaction that generated a total commission of $227?