Question

There were 150 freshman and sophomores at the high school musical Reese and her friends attended. Freshman tickets were $2.00 each and sophomore tickets were $3.00 each. The receipts for freshman and sophomore tickets totaled $400. How many sophomores bought tickets?

Answer 1

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Answer 2

F + S = 150, therefore F = 150 - S
second equation is $2 x F + $3 x S = 410
or 2F + 3S = 410
We know F = 150 - S
Therefore
2(150 - S) + 3S = 410
300 -2S + 3S = 410
S = 110
Substitute this back into F = 150 - S , F = 40
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Check 40 +110 = 150 tickets
40 x $2 = $80
110 x $3 = $330
$80 + $330 = $410

Answer 3

F + S = 150 tickets
2F + 3S = $400
-> F =50, S = 100 tickets

Answer 4

Let s = the number of sophomores
2(150-s)+3 s=400
s=100