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

Answer 1

Use a system of equations;
You know there are 150 students total.
f+s=150
You know the price of the tickets and the fee per freshmen/sophomore.
2f+3s=395

Answer 2

f+s=150
2f+3s=395
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Simultaneously solving 2 equations in 2 unknowns, f and s, by substitution

f + s = 150
f = 150 - s

2(150 - s) + 3s = 395
300 - 2s + 3s = 395
300 + s = 395
s = 95 -----> number of sophomores

f = 150 - 95 = 55 ---> number of freshmen