A website that sells songs for downloading increased its price per song from $0.99 to $1.29. Ariana spent $15.36 downloading songs before and after the price increase. She downloaded 4 more songs at $0.99 than at $1.29. The set of equations below represents the situation where x is the number of songs Ariana downloaded at $0.99 and y is the number of songs she downloaded at $1.29.

x = y + 4
.99x + 1.29y = 15.36

What is the exact number of songs Ariana downloaded at the $0.99 price?

Question

A website that sells songs for downloading increased its price per song from $0.99 to $1.29. Ariana spent $15.36 downloading songs before and after the price increase. She downloaded 4 more songs at $0.99 than at $1.29. The set of equations below represents the situation where x is the number of songs Ariana downloaded at $0.99 and y is the number of songs she downloaded at $1.29.

x = y + 4
.99x + 1.29y = 15.36

What is the exact number of songs Ariana downloaded at the $0.99 price?

anonymous · Answer

@ganeshie8

anonymous · Answer

Multiply the x=y+4 (x-y=4) equation by 1.29 so that ys cancel; then we have 2.28x=20.52 so x=9

anonymous · Answer

@barbillus could you maybe draw out the steps you did so i could visualize it better

anonymous · Answer

|dw:1406644439794:dw|

anonymous · Answer

notice that the question asks for the songs downloaded at $ .99, which is x, so we eliminated y by multipliying the above equation by 1.29 so that ys will be cancel after added to 1.29y..