Systems Word Problems (DonBon)
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• Question 1
900 seconds
Q. Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
x + y = 33
y = 2x - 3
x + y = 33
x = 2y - 3
x + y = 33
x = 3 - 2y
x + y = 3
x = 33 - 2y
• Question 2
900 seconds
Q. Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of \$13.  On Wednesday she purchased 3 apples and 7 bananas for a total of \$13.50.  Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
• Question 3
900 seconds
Q. Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?
x - y = -10
x + y = -2
x = -2
y = 5
x + y = -2
x - y = -10
x + y = -10
x - y = -2
• Question 4
900 seconds
Q. The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  Which system of equations represents the situation?
2x + 3y = 55
2x + 5y = 3
x + y = 55
x - y = 3
x + y = 3
x - y = 55
• Question 5
900 seconds
Q. The talent show committee sold a total of 530 tickets in advance. Student tickets cost \$3 each and the adult tickets cost \$4 each. If the total receipts were \$1740, which system could be used to find how many of each type of ticket were sold?
S + A = 530
3S + 4A = 1740
S + A = 530
4S + 3A = 1740
S + A = 1740
3S + 4A = 530
S + A = 1740
4S + 3A = 530
• Question 6
900 seconds
Q. 1.  The cost of 5 squash and 2 zucchini is \$1.32. Three squash and 1 zucchini cost \$0.75. Write a system of equations.
5q + 2z = 1.32
1z = 0.75
5q + 2z = 1.32
3q + 1z = 0.75
q + z = 1.32
q + z = 0.75
5q + 2z = 0.75
3q + 1z = 1.32
• Question 7
900 seconds
Q. 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 equations could be used to determine the cost of the coffee?
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
• Question 8
900 seconds
Q. Homer sells tickets for admission to your school play and collects a total of \$104. Admission prices are \$6 for adults and \$4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
(10, 11)
(12, 9)
(11, 10)
(9, 12)
• Question 9
900 seconds
Q. Homer sells tickets for admission to your school play and collects a total of \$104. Admission prices are \$6 for adults and \$4 for children. He sold 21 tickets total. How many of each type of ticket were sold?
• Question 10
900 seconds
Q. David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost \$1.50 each and sodas cost \$0.50 each. At the end of the game, David made a total of \$78.50 and sold a total of 87 nachos and sodas combined.
35 nachos, 52 sodas
18 nachos, 69 sodas
52 nachos, 35 sodas
61 nachos, 26 sodas
• Question 11
900 seconds
Q. Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to \$6.60.  How many nickels and dimes did Dennis earn?
40 nickels, 40 dimes
52 nickels, 28 dimes
28 nickels, 52 dimes
30 nickels, 50 dimes
• Question 12
900 seconds
Q. A large pizza at Palanzio’s Pizzeria costs \$6.80 plus \$0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is \$7.30 plus \$0.65 for each topping. How many toppings can you get at each Pizzeria so that the price of a large pizza is the same?
3 toppings
1 topping
2 toppings
4 toppings
• Question 13
900 seconds
Q. Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for \$14.80 and some order steak for \$17. If the total bill was \$91, how many of each kind of dinner was purchased?
3 chicken, 3 steak
5 chicken, 1 steak
1 chicken, 5 steak
4 chicken, 2 steak
• Question 14
900 seconds
Q. At a college bookstore, Carla purchased a math textbook and a novel that cost a total of \$54, not including tax. If the price of the math textbook, t, is \$8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
t + n = 54
t = 3n + 8
t + n = 54
n = 3t + 8
t + n = 54
t = 3n - 8
t + n = 8
t = 3n + 54
• Question 15
900 seconds
Q. Some students want to order shirts with their school logo. One company charges \$9.65 per shirt plus a setup fee of \$43. Another company charges \$8.40 per shirt plus a \$58 fee. Which equation represents the number of shirts when both companies charge the same amount?
y = 9.65 + x
y = 8.40 + x
y = 9.65x + 43
y = 8.40x + 58
y =9.65x
y = 8.40x
y = 9.65x - 43
y = 8.40x - 58
• Question 16
900 seconds
Q.

A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of \$4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?

nickels is 20

dimes is 3

quarters is 2

nickels is 3

dimes is 5

quarters is 17

nickels is 13

dimes is 10

quarters is 2

nickels is 12

dimes is 10

quarters is 3

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