Sophie took her savings ($150) to a tax free clearance sale at media warehouse where she wanted to buy some Blu-rays and some CDs. She could buy 4 Blu rays and 8 CDs and have $6.28 left or she could buy 6 blu rays and 4 CDs and have $2.66 left. All Blu rays are the same price and all CDs are the same price. Find the sale price of one Blu ray and one CD.

let blu ray = $x

cd = $y

so,

4x+8y = 150 - 6.28

6x+4y= 150 - 2.66

12x+8y=300 - 5.32

equation 3 - equation 1

=> 8x = 150.96

=> x = $18.87

=> y = $8.53