SOLUTION: Hey would you please help me with this? I'm pretty sure it's either A or B Which system of equations can be used to solve the following problem? Each child ticket f

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Question 1113391: Hey would you please help me with this? I'm pretty sure it's either A or B

Which system of equations can be used to solve the following problem?

Each child ticket for a ride costs $3, while each adult ticket costs $5. If the ride collected a total of $150, and 40 tickets were sold, how many of each type of ticket were sold? Let c be the number of child tickets and a be the number of adult tickets.

A.

5c+3a=150
c+a=40

B.

3c+5a=150
a+c=40

C.

3a+5c=40
a+c=150

D.

3c+5a=40
a+c=150
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
B
:
1) a + c = 40
:
2) 3c +5a = 150
:
solve equation 1 for c
:
c = 40 -a
:
substitute for c in equation 2
:
3(40 -a) +5a = 150
:
120 -3a +5a = 150
:
2a = 30
:
a = 15
:
c = 40 -15 = 25
:
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25 children(c) and 15 adults(a)
:
check the answer
:
3(25) +5(15) = 150
:
75 +75 = 150
:
150 = 150
:
answer checks
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