Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
Solve Systems Word Problem

Quiz
•
Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
3x + 2y = 315
2x + 4y = 450
3x + 2y = 450
2x + 4y = 315
2x + 2y = 315
3x + 4y = 450
3x - 2y = 315
2x - 4y = 450
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On Monday Mr. Beignet bought 10 coffees and 5 doughnuts for his office at the cost of $16.50. 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 each item?
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
x + y = 1430
20x + 50y = 49
x + y = 49
10x + 5y = 1430
x + y = 49
20x + 50y = 1430
x + y = 49
x + y = 1430
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
4x + 7y = 578
x + y = 3365
4x + 7y = 3365
x + y = 578
4y + 7x = 578
x + y = 3365
4y + 7x = 3365
x + y = 578
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are 20 animals in the barn. Some are geese and some are buffalo. There are 64 legs in all. How many of each animal are there?
12 geese and 8 buffalo
8 geese and 12 buffalo
4 geese and 28 buffalo
The buffalo all sat on the geese and now there are only 44 legs in all.
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