SOLUTION: Billy Joe operates a website where he sells animal pelts he collects. Today, he filled 3 orders. The first one was for 4 skunk pelts, 6 squirrel pelts, and 8 raccoon pelts, and he

Question 175877: Billy Joe operates a website where he sells animal pelts he collects. Today, he filled 3 orders. The first one was for 4 skunk pelts, 6 squirrel pelts, and 8 raccoon pelts, and he charged them $572. The second was for 10 squirrel pelts and 10 raccoon pelts, for which he charged $370. The third order was for 45 squirrel pelts, and he charged $540 for that order. (all prices do not include any shipping charges or tax)

Use the information provided to determine how much each type of pelt (skunk, squirrel,and raccoon) costs.

Answer by agosset(4) (Show Source): You can put this solution on YOUR website!
This is a three equation process and we work our way from one to the next:
First we need to translate the word problem to a number problem:
Let k=price of skunk pelts
Let q=Price of squirrel pelts
Let r=Price or raccon pelts
4 skunk pelts, 6 squirrel pelts, and 8 raccoon pelts, and he charged them $572.
4k+6q+8r=572
The second was for 10 squirrel pelts and 10 raccoon pelts, for which he charged $370.
10q+10r=370
The third order was for 45 squirrel pelts, and he charged $540 for that order
45q=540

From this last equation we divide all terms by 45 and get:

Now we replace q by 12 on the second equation:

Last step is to replace r and q on the first equation

Skunks= $75
Raccoons= $25
Squirrels= $12
We can replace numbers on all three equations to verify.

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