There were 190 people at the Junior-Senior dance Sasha and her friends attended. Junior tickets were $2.00 each and Senior tickets were $3.50 each. The total receipts for the dance were $530. How many Juniors bought tickets?

70

80

90

100

Question

There were 190 people at the Junior-Senior dance Sasha and her friends attended. Junior tickets were $2.00 each and Senior tickets were $3.50 each. The total receipts for the dance were $530. How many Juniors bought tickets? 

 70 

 80 

 90 

 100

anonymous · Answer

Let the number of Juniors be x.
So number of seniors = (190 - x)
2x + 3.5(190 - x) = 530
2x + 665 - 3.5x = 530
-1.5x = -135
Can you find x now? That will be the answer.

anonymous · Answer

112.50

anonymous · Answer

That's wrong! Think practically How can 112.5 people(Juniors) attend the dance?

anonymous · Answer

i dont know!! thats why i need help!

anonymous · Answer

Let x be the number of junior tickets
Let y be the number of senior tickets

2x+3.5y=530----1
x+y=190
2x+2y=380------2
(1-2): 1.5y=530-380
=150
y=100
x=90

U can check if its correct

anonymous · Answer

@kiamonstaa You had divided -135 by -1.2 instead of -1.5. That's how you got 112.50.

anonymous · Answer

ohh haha i got it now!