<PRE><B>Question 175878</B>
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 = {{{540/45}}}
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 = {{{300/4}}}
x = $75 for each skunk
:
Check solutions in all three original equations</PRE>