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?

Question

anonymous · Answer

s = sophomores
f = freshmen

f + s = 150
2f + 3s = 400

f = 150 - s
2(150 - s) + 3s = 400
300 - 2s + 3s = 400
-2s + 3s = 100
s = 100

100 Sophomores bought tickets.