Question 1

Mrs. Simone invested $20,000 in two investments paying 2% and 3% respectively. She earned $460 interest for the year. How much did Mrs. Simone invest at 3%?

Accepted Answer

The answer of Mrs. Simone invested $20,000 in two investments...

Question 2

Executive Fashions sold four-sevenths of its inventory at cost in a bankruptcy sale. The remainder was sold to liquidators for $6,700 representing 45% of the cost of the goods.
a) What was the original cost of the inventory that was sold to the liquidators?
b) What were the proceeds from the bankruptcy sale?

Accepted Answer

The answer of Executive Fashions sold four-sevenths of its inventory...

Question 3

The annual net income of the Todd Bros. partnership is distributed so that Ken receives $15,000 more than 80% of Hugh's share. How should a net income of $98,430 be divided between the partners?

Accepted Answer

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

Question 4

David's portfolio consists of bonds and equity. The bond market rose by 2.5%, while the equity market dropped by 10.5%. David's portfolio increased by 1.25%. What portion of bonds and equity did he have in his portfolio?

Accepted Answer

The answer of David's portfolio consists of bonds and equity....

Question 5

During a one-day special, a grocery store sells cucumbers at 98 cents each or four for the price of three. At the end of the day, the store's computer reports that revenue from the sale of 541 cucumbers was $418.46. How many cucumbers were sold on the four-for-three promotion?

Accepted Answer

The answer of During a one-day special, a grocery store...

Question 6

Tickets for the end of semester dance sold for $10 if purchased in advance, and $15 if purchased at the door. If 392 tickets were sold for a total of $4280, how many tickets were sold at the door?

Accepted Answer

The answer of Tickets for the end of semester dance...

Question 7

TinyTot School purchases the same amount of milk and orange juice each week. After price increases from $1.10 to $1.15 per litre of milk and from $0.98 to $1.14 per can of frozen orange juice, the weekly bill rose from $42.20 to $45.85. How many litres of milk and cans of orange juice are purchased every week?

Accepted Answer

The answer of TinyTot School purchases the same amount of...

Question 8

Granola king wishes to mix raisins and granola together to create a cereal. Raisins are priced at $7.25 per Kg while granola is priced at $5.60. If the cereal is to be priced at $6.85 per Kg, then what is the appropriate mix of raisins and granola?

Accepted Answer

The answer of Granola king wishes to mix raisins and...

Question 9

Marika bought 5 litres of milk and 4 dozen eggs for $13.97. Lester purchased 9 litres of milk and 3 dozen eggs for $16.83. What were the prices for a litre of milk and a dozen eggs?

Accepted Answer

The answer of Marika bought 5 litres of milk and...

Question 10

Solve the following set of equations graphically:

Accepted Answer

The answer of Solve the following set of equations graphically:...

Question 11

As a fundraiser, a local charity sold raffle tickets on a trip to Disney World at $2 each or three for $5. In all, 3,884 tickets were sold for a total of $6,925. How many people bought tickets at the three for $5 discount?

Accepted Answer

The answer of As a fundraiser, a local charity sold...

Question 12

Larissa works in a retail store in Square One in Mississauga. She earns a base salary of $320 per week, and a commission of 3% on sales over her quota of $5,000. If Larissa earned $515 last week, what was the value of her sales?

Accepted Answer

The answer of Larissa works in a retail store in...

Question 13

A manufacturing firm pays monthly salaries of $3,400 to each production worker and $2,800 to each assembly worker. As the economy drops into a recession, the firm decides to reduce its total monthly manufacturing payroll from $253,800 to $198,000 by laying off 20% of its production workers and 25% of its assembly workers. How many layoffs will there be from each of the assembly and production divisions?

Accepted Answer

The answer of A manufacturing firm pays monthly salaries of...

Question 14

Kristina is in charge of billing for a company that does computer training. She is preparing an invoice for $1,340 for 32 hours of work, which includes training at $70 per hour and preparation of a manual at $25 per hour. How many hours of training are included in the invoice?

Accepted Answer

The answer of Kristina is in charge of billing for...

Question 15

$100,000 is to be distributed under a firm's profit-sharing plan. Each of 3 managers is to receive 20% more than each of 26 production workers. How much will each manager and production worker receive?

Accepted Answer

The answer of $100,000 is to be distributed under a...

Question 16

Solve the following set of equations graphically:

Accepted Answer

The answer of Solve the following set of equations graphically:...

Question 17

Bart purchased 60% of a three-eighths interest in a ski chalet for $25,000. What was the implied value of the chalet?

Accepted Answer

The answer of Bart purchased 60% of a three-eighths interest...

Question 18

Sam earns $17.00 per hour for a forty-hour week. His overtime rate is 1 ½ times any hours exceeding forty in a week. If Sam earned $807.50 last week, how many overtime hours did he work?

Accepted Answer

The answer of Sam earns $17.00 per hour for a...

Question 19

A convenience store sells canned soft drinks at $4.35 for a six-pack or 90 cents for a single can. If revenue from the sale of 225 cans of soft drinks on a weekend was $178.35, how many six-packs and how many single cans were sold?

Accepted Answer

The answer of A convenience store sells canned soft drinks...

Question 20

The Canucks charge $150 for Premium Tickets and $80 for Standard Tickets. If 18,500 tickets were sold for the Montreal game and $2,215,000 in revenues were recorded, how many Premium and Standard tickets were sold?

Accepted Answer

The answer of The Canucks charge $150 for Premium Tickets...

Quiz 2: B: Review and Applications of Algebra

Mrs. Simone invested $20,000 in two investments paying 2% and 3% respectively. She earned $460 interest for the year. How much did Mrs. Simone invest at 3%?

The annual net income of the Todd Bros. partnership is distributed so that Ken receives $15,000 more than 80% of Hugh's share. How should a net income of $98,430 be divided between the partners?

David's portfolio consists of bonds and equity. The bond market rose by 2.5%, while the equity market dropped by 10.5%. David's portfolio increased by 1.25%. What portion of bonds and equity did he have in his portfolio?

During a one-day special, a grocery store sells cucumbers at 98 cents each or four for the price of three. At the end of the day, the store's computer reports that revenue from the sale of 541 cucumbers was $418.46. How many cucumbers were sold on the four-for-three promotion?

Tickets for the end of semester dance sold for $10 if purchased in advance, and $15 if purchased at the door. If 392 tickets were sold for a total of $4280, how many tickets were sold at the door?

Granola king wishes to mix raisins and granola together to create a cereal. Raisins are priced at $7.25 per Kg while granola is priced at $5.60. If the cereal is to be priced at $6.85 per Kg, then what is the appropriate mix of raisins and granola?

Marika bought 5 litres of milk and 4 dozen eggs for $13.97. Lester purchased 9 litres of milk and 3 dozen eggs for $16.83. What were the prices for a litre of milk and a dozen eggs?

Solve the following set of equations graphically:

As a fundraiser, a local charity sold raffle tickets on a trip to Disney World at $2 each or three for $5. In all, 3,884 tickets were sold for a total of $6,925. How many people bought tickets at the three for $5 discount?

Larissa works in a retail store in Square One in Mississauga. She earns a base salary of $320 per week, and a commission of 3% on sales over her quota of $5,000. If Larissa earned $515 last week, what was the value of her sales?

Kristina is in charge of billing for a company that does computer training. She is preparing an invoice for $1,340 for 32 hours of work, which includes training at $70 per hour and preparation of a manual at $25 per hour. How many hours of training are included in the invoice?

$100,000 is to be distributed under a firm's profit-sharing plan. Each of 3 managers is to receive 20% more than each of 26 production workers. How much will each manager and production worker receive?

Solve the following set of equations graphically:

Bart purchased 60% of a three-eighths interest in a ski chalet for $25,000. What was the implied value of the chalet?

Sam earns $17.00 per hour for a forty-hour week. His overtime rate is 1 ½ times any hours exceeding forty in a week. If Sam earned $807.50 last week, how many overtime hours did he work?

A convenience store sells canned soft drinks at $4.35 for a six-pack or 90 cents for a single can. If revenue from the sale of 225 cans of soft drinks on a weekend was $178.35, how many six-packs and how many single cans were sold?

The Canucks charge $150 for Premium Tickets and $80 for Standard Tickets. If 18,500 tickets were sold for the Montreal game and $2,215,000 in revenues were recorded, how many Premium and Standard tickets were sold?