Systems Word Problems (DonBon)
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16 QuestionsShow answers
  • 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.
    answer choices
    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?
    answer choices
    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?
    answer choices
    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?
    answer choices
    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?
    answer choices
    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.
    answer choices
    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? 
    answer choices
    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
    answer choices
    (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?
    answer choices
    10 adults, 11 children
    12 adults , 9 children
    11 adults, 10 children
    9 adults, 12 children
  • 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. 
    answer choices
    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? 
    answer choices
    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? 
    answer choices
    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?
    answer choices
    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?
    answer choices
    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? 
    answer choices
    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?

    answer choices

    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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