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Natasha2012 [34]
3 years ago
12

Word problem: $32.95 for an adult ticket and $22.95 for a junior ticket. one day, the park collected $10,612 from a total of 360

tickets sold. how many were adult tickets and how many were juniors?
Mathematics
1 answer:
seropon [69]3 years ago
6 0

x + y = 360 \\ 32.95x + 22.95y = 10612
First, solve
x = 360 - y

Substitute that into equation
32.95(360 - y) + 22.95y = 10612 \\ 11862 - 32.95y + 22.95y = 10612 \\ 11862 - 10y = 10612 \\ 10y = 1250 \\ y = 125

Substitute y = 125 into
x = 360 - 125 \\ x = 235

There were 235 adult tickets and 125 junior tickets.

Hope this helps. - M
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