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

Which equations could be used to determine the cost of the coffee? 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. 

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 sold a total of 87 nachos and sodas combined for $78.50. 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