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 sophomores tickets totaled $410. How many sophomores bought tickets?

Question

anonymous · Answer

The same again solve the 2 sets of equations
F + S = 150, therefore F = 150 - S
The 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 and we find that F = 40

Check 40 +110 = 150 tickets - OK
40 x $2 = $80
110 x $3 = $330
$80 + $330 = $410 = O