SOLUTION: susan, joe, and alonzo have a total of $117 in their wallets. alonzo has 3 times what joe has. susan has $8 less than joe. how much does each have?

Question 1053084: susan, joe, and alonzo have a total of $117 in their wallets. alonzo has 3 times what joe has. susan has $8 less than joe. how much does each have?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let s, j, and a = amt each has
:
write an equatin for each statement
:
susan, joe, and alonzo have a total of $117 in their wallets.
s + j + a = 117
alonzo has 3 times what joe has.
a = 3j
susan has $8 less than joe.
s = j - 8
:
how much does each have?
in the first equation, replace a with 3j, replace s with (j-8)
(j-8) + j + 3j = 117
j + j + 3j = 117 + 8
5j = 125
j = 125/5
j = $25 is the amt Joe has
:
Use the 2nd and 3rd equations to find a and s, by replacing j with 25
check your solutions in the 1st equation

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