Systems Word Problems

Front

Which system of equations represents the situation?
Nancy went to the grocery store.  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.

Back

4x + 6y = 13
3x + 7y = 13.5

Front

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

Back

x + y = -10
x - y = -2

Front

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?

Back

S + A = 530
3S + 4A = 1740

Front

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

Back

5q + 2z = 1.32
3q + 1z = 0.75

Front

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?

Back

10c + 5d = 16.50, 5c + 10d = 14.25

Front

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

Back

(10, 11)

Front

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?

Back

10 adults, 11 children

Front

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. How many nachos and sodas did he sell?

Back

35 nachos, 52 sodas

Front

How many toppings can you get at each Pizzeria so that the price of a large pizza is the same? 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.

Back

2 toppings

Front

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?

Back

5 chicken, 1 steak