SOLUTION: 76 people attend a concert. Each adult ticket costs $4.00. Each child ticket costs $3.50.
If total revenue for the ticket sales was $287.00, state how many adult tickets and how
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Question 1191299: 76 people attend a concert. Each adult ticket costs $4.00. Each child ticket costs $3.50.
If total revenue for the ticket sales was $287.00, state how many adult tickets and how many children tickets were sold.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
x children
y adults
.
.
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
A quick informal solution method, if formal algebra is not required and you want some good practice with logical reasoning and mental arithmetic....
If all 76 tickets had been adult tickets, the revenue would have been 76($4)=$304.
The actual revenue was $304-$287=$17 less than that.
Each children's ticket brings in $0.50 less revenue than each adult ticket.
The number of children's tickets was $17/$0.50=34.
ANSWER: 34 children's tickets and 76-34=42 adult tickets
CHECK: 42(4)+34(3.5)=168+119=287
Note the words of explanation make this look like a long path to the solution; it is not. Without the words, the calculations are these:
76*4=304
304-287=17
17/0.5=34
76-34=42
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