System of Equations with Money

Your friend rents 10 chairs and 2 tables for $300. Another friend rents 8 chairs and 4 tables for $360. How much does a chair and a table cost? Write a system of equations to solve.

• Chairs $2 Tables $5

• Chairs $50 Tables $20

• Chairs $10 Tables $15

• Chairs $20 Tables $50

You and your brother each decide to open a savings account. You open your account at Elsa’s Banking Branch. Your brother opens his account at Anna’s Banking Company. You put $50 in the bank and your account earns $4 per week in interest. Your brother puts $150 in his account but only earns $2 per week in interest. How many weeks will it take for both your brother and your account to have the same balance? Write a system of linear equations to solve the problem.

• 200 weeks

• 300 weeks

• 50 weeks

• 250 weeks

The basketball team is planning a fundraiser to sell shirts to raise money for new kicks. They plan to sell the shirts for $15 each. The company they order the shirts from charges the team a set up fee of $150 and $7.50 for each shirt printed. How many shirts must they sell to break even? Write a system of linear equations to solve the problem.

• 20 shirts

• 300 shirts

• 150 shirts

• 30 shirts

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system of equations can be used to determine s, the number of senior citizen tickets sold and c, the number of children tickets sold?

• 1s + 3c = 38

  2s + 3c = 52

• 3s + 1c = 38

  3s + 2c = 52

• s + c = 38

  s + c = 52

• 3s + 3c = 38

  1s + 2c = 52

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations could be used to determine the cost of the coffee, c and doughnuts, d?

• 10c + 5d = 14.25

  5c + 10d = 16.50

• 10c + 5d = 16.50

  5c + 10d = 14.25

• c + d = 10

  5c + 10d = 16.50

• c + d = 5

  5c + 10d = 16.50

Ted and Bill are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Ted sold 14 cherry pies and 4 blackberry pies for a total of $160. Bill sold 7 cherry pies and 14 blackberry pies for a total of $308. What is the cost each of one cherry pie and one blackberry pie?

• cherry pie: $19, blackberry pie: $6

• cherry pie: $6, blackberry pie: $19

• cherry pie: $10, blackberry pie: $28

• cherry pie: $28, blackberry pie: $10

Dustin wants to buy 9 tickets to the circus. The lower balcony tickets cost $20.95 while the upper balcony tickets cost only $12.50. How many of each type of ticket did Dustin buy if he spent $146.30?

• 4 lower balcony tickets, 5 upper balcony tickets

• 5 lower balcony tickets, 4 upper balcony tickets

• 6 lower balcony tickets, 3 upper balcony tickets

• 3 lower balcony tickets, 6 upper balcony tickets

Rob bought 15 concert tickets worth $322.50. Floor tickets cost $25.00 each while balcony tickets cost $17.50 each. How many tickets of each type did Rob buy?

• 7 floor tickets, 8 balcony tickets

• 8 floor tickets, 7 balcony tickets

• 9 floor tickets, 6 balcony tickets

• 10 floor tickets, 5 balcony tickets