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

aroub · Answer

95

anonymous · Answer

Use a system of equations to solve for s, letting s represent the number of sophomores and f represent freshmen.
s+f=150
2f+3s=395

aroub · Answer

=> 

sophomores = x

freshmen= 150-x

=> 2(150+x)+3x=395
      300+x=395
       x=95