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?

40

90

110

120

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?

40

90

110

120

anonymous · Answer

120

anonymous · Answer

using simultaneous eq's...let x = freshmen
                            and...let y = sophmores

therefore:----> x +y =150
 and                  2x +3y=410

multiply the top equation by 2 so that the x terms (ie freshmen) cancel out and the y terms (ie sophmores) are left because thats the number that you want to find...

so your new set of equations will be: 

  2x + 2y =300
-2x  + 3y =410

I subtracted the equations because i wanted to get rid of the x's (ie freshmen)

therefore you get:--->  -y=-110

multiplying both sides by -1 to get y...we get that y =110