SOLUTION: Tom has $5 more than Jack and Jack has $11 more than Harry/ Togethwer they have 45 how much does each have?

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Question 500093: Tom has $5 more than Jack and Jack has $11 more than Harry/ Togethwer they have 45 how much does each have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
t = Tom's amount
j = Jack's amount
h = Harry's amount
given:
(1) +t+=+j+%2B+5+
(2) +j+=+h+%2B+11+
(3) +t+%2B+j+%2B+h+=+45+
----------------
There are 3 equations and 3 unknowns, so it's solvable
(2) +h+=+j+-+11+
Substitute (1) and (2) into (3)
(3) +t+%2B+j+%2B+h+=+45+
(3) +j+%2B+5+%2B+j+%2B+j+-+11+=+45+
(3) +3j+-+6+=+45+
(3) +3j+=+51+
(3) +j+=+17+
from (1),
(1) +t+=+j+%2B+5+
(1) +t+=+17+%2B+5+
(1) +t+=+22+
from (2)
(2) +h+=+j+-+11+
(2) +h+=+17+-+11+
(2) +h+=+6+
Tom has $22, Jack has $17, Harry has $6