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?
Special Systems Word Problems

Quiz
•
Anthony Clark
•
Mathematics
•
9th Grade
•
Hard
Student preview

20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
S + A = 530
3S + 4A = 1740
S + A = 530
4S + 3A = 1740
S + A = 1740
3S + 4A = 530
S + A = 1740
4S + 3A = 530
2.
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?
x + y = 15
4x + 2y = 44
4x + 2y = 15
x + y = 44
x = 2y + 44
4x = y + 15
2x - 4y = 44
x - y = 15
4.
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. 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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
(10, 11)
(12, 9)
(11, 10)
(9, 12)
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
1s + 3c = 38
2s + 3c = 52
3s + 1c = 38
3s + 2c = 52
s + c = 38
s + c = 52
3s + 3c = 38
1s + 2c = 52
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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. Which system of equations could be used to find the exact number of dimes and nickels?
d + n = 6.60
.10d + .05n = 80
d + n = 80
d + n = 6.60
d + n = 80
.10d + .05n = 6.60
d + n = 80
.05d + .10n = 6.60
8.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
t + n = 54
t = 3n + 8
t + n = 54
n = 3t + 8
t + n = 54
t = 3n - 8
t + n = 8
t = 3n + 54
9.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
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
10.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4
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