SOLUTION: I need help solving this problem: 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

Question 300742: I need help solving this problem:
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?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
The grocery store we use does not mark prices on its goods.My wife went to this... (answered by josmiceli,ikleyn)

I need help solving this problem: luis makes a 4% commission on his sales in a spirting... (answered by rfer)

The problem is, A grocery store knows that if it sells its canned hams for 5$ each, it... (answered by josgarithmetic)

Create a Euler diagram to determine whether the syllogism is valid or invalid. All... (answered by Theo)

The problem is, A grocery store knows that if it sells its canned hams for 5$ each, it... (answered by josgarithmetic)

If a store uses a selling price-based markup of 40%, and an item costs the store $300,... (answered by KMST)

use this to answer number 1 a spoting goods store is printing coupons that allow the... (answered by MeganPoss)

Ahh...please help. How do I set this up??? That's all I need. I am confused. A man goes (answered by ikdeep)

Can you please help with this word problem. A man goes into a grocery store and buys a (answered by Cintchr)