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 $395. How many sophomores bought tickets?

55

75

90

95

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 $395. How many sophomores bought tickets?

 55

 75

 90

 95

nurali · Answer

f + s =150
f = 150 - s ----------------- eq 1

2f + 3s = 395
subst eq 1
2(150 - s) + 3s = 395
300 - 2s + 3s = 395
s = 395 - 300
s = 95