Question 300742
The grocery store we use does not mark prices on its goods. my wife went to this store and bought 5 packages of bacon and 3 cartons of eggs and paid a total of 18.52. i also went to the store and bought 3 packages of bacon and 5 cartons of eggs and paid a total of 14.92. now we want to return 3 packages of bacon and 3 cartons of eggs. how much will be refunded?

Let a packet of bacon cost $x
Let a packet of eggs cost $ y

wife: 5x+3y= 18.52

Yourself

3x+5y= 14.92

3(5x+3y)-5(3x+5y)= 3*18.52-5*14.92

15x+9y-15x-25y= 55.56-74.6

-16y=19.04

x=1.19 cost of 1 packet of bacon

3x+5y=14.92

3*1.19+5y=14.92

5y= 14.92-3.57

y= 2.27 cost of 1 packet of eggs

3 packets of bacon = 3*1.19= 3.57

3 packages of eggs = 3*2.27= 6.81

you should get a refund of $ 10.38