Quiz about Systems Word Problems Money

Question 1

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

Accepted Answer

x + y = 49
20x + 50y = 1430

Answer

x + y = 1430
20x + 50y = 49

Answer

x + y = 49
10x + 5y = 1430

Answer

x + y = 49
x + y = 1430

Question 2

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?

Accepted Answer

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

Answer

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

Answer

x + y = 4
x - y = 6

Answer

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

Question 3

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?

Accepted Answer

t + n = 54
t = 3n + 8

Answer

t + n = 54
n = 3t + 8

Answer

t + n = 54
t = 3n - 8

Answer

t + n = 8
t = 3n + 54

Question 4

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?

Accepted Answer

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

Answer

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

Answer

c + d = 10
5c + 10d = 16.50

Answer

c + d = 5
5c + 10d = 16.50

Question 5

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. To solve, I graphed: x + y = 21 6x + 4y = 104 I got an intersection point at (10,11). What does that mean in context of the problem?

Accepted Answer

There are 10 adults and 11 children.

Answer

There are 11 adults and 10 children.

Answer

The adults are $10 and the children are $11.

Answer

There are 104 adults and 21 children.

Question 6

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

Accepted Answer

4x + 7y = 3365
x + y = 578

Answer

4x + 7y = 578
x + y = 3365

Answer

4y + 7x = 578
x + y = 3365

Answer

4y + 7x = 3365
x + y = 578

Question 7

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, which system best represents the situation?

Accepted Answer

x + y = 6
14.80x + 17y = 91

Answer

x + y = 91
14.80x + 17y = 6

Answer

x + y = 6
14.80y + 17x = 91

Answer

x + y = 91
14.80x+ 17y = 6

Question 8

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

Accepted Answer

1.75 + 0.65m < 10

Answer

1.75 + 0.65m > 10

Answer

1.75m + 0.65 < 10

Answer

1.75m + 0.65 > 10

Question 9

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 equations represents the system that could be used?

Accepted Answer

3s + 1c = 38
3s + 2c = 52

Answer

1s + 3c = 38
2s + 3c = 52

Answer

s + c = 38
s + c = 52

Answer

3s + 3c = 38
1s + 2c = 52

Question 10

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

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

Accepted Answer

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

Answer

5q + 2z = 1.32
1z = 0.75

Answer

q + z = 1.32
q + z = 0.75

Answer

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

Question 12

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. Which system of equations represents this situation?

Accepted Answer

1.5x+0.5y=78.5
x+y=87

Answer

1.5x+0.5y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
x+y=87

Question 13

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

Accepted Answer

3x + 4y = 64

x + 8y = 68

Answer

4y = 3x + 64

8y = x + 68

Answer

4y = 3x + 64

8y = x + 60

Answer

3x + 4y = 64

x + 8y = 60

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics