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?

A. 40
B. 90
C. 110
D. 120

I believe the answer is C, is that right?

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 sophomores tickets totaled $410. How many sophomores bought tickets?  

A. 40
B. 90
C. 110
D. 120

I believe the answer is C, is that right?

lgbasallote · Answer

let x = freshmen
y = sophomores

x+y = 150
2x + 3y = 410

-2x -2y = -300
2x + 3y = 410
y = 110
x = 40

lgbasallote · Answer

ys 110 sophomores...you're right

anonymous · Answer

Thank you! :)