Question 175878: 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 ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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)
:
Let x = price of skunks
Let y = price of squirrels
Let z = price of raccoons
;
Write an equation for each order:
4x + 6y + 8z = 572
0x +10y +10z = 370
0x +45y + 0z = 540
:
Find the price of squirrels using the last equation:
45y = 540
y = 
y = $12 for each squirrel
:
we know y=12, find z using the 2nd equation
10(12) + 10z = 370
120 + 10z = 370
10z = 370 - 120
10z = 250
z = $25 for each raccoon
:
we know y and z, find x using the 1st equation:
4x + 6(12) + 8(25) = 572
4x + 72 + 200 = 572
4x = 572 - 272
4x = 300
x = 
x = $75 for each skunk
:
Check solutions in all three original equations
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