SOLUTION: Ticket prices to a movie cost $20 for adults, $10 for children, $5 for children under 1. 120 people attend and brings in $1555. How many attend each category?

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Question 1021840: Ticket prices to a movie cost $20 for adults, $10 for children, $5 for children under 1. 120 people attend and brings in $1555. How many attend each category?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the number of adults, B be the number of children, and C be the number of children under 1.
There are multiple solutions based on this information.
A%2BB%2BC%2B120 ,-- Total number of people
.
.
.
20A%2B10B%2B5C=1555 <--- Total box office receipts
4A%2B2B%2BC=311
.
.
.
C=120-A-B
C=311-4A-2B
120-A-B=311-4A-2B
B=191-3A
.
.
Then substituting,
C=120-A-%28191-3A%29
C=2A-71
All three numbers must be integers and greater than or equal to zero,
191-3A%3E0
191%3E3A
A%3C191%2F3
A%3C=63
and
2A-71%3E0
2A%3E71
A%3E=36
So then,
B=191-3A
C=2A-71
with
36%3C=A%3C=63