SOLUTION: Tony spent 2/5 of his money on running shoes. He also bought a coat for $6 less than for the shoes. He has $37 dollars left. How much money did he have to begin with?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Tony spent 2/5 of his money on running shoes. He also bought a coat for $6 less than for the shoes. He has $37 dollars left. How much money did he have to begin with?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1155959: Tony spent 2/5 of his money on running shoes. He also bought a coat for $6 less than for the shoes. He has $37 dollars left. How much money did he have to begin with?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
M, amount of money began

M-2M%2F5=3M%2F5, still remaining
then, 3M%2F5-%28-6%2B2M%2F5%29=37 remained.

3M%2F5-2M%2F5%2B6=37
M%2F5=37-6
M%2F5=31
M=5%2A31
highlight%28M=155%29

(look for any mistakes.)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount he started with
After spending 2/5, he has +%283%2F5%29%2Ax+
------------------------------------------
Then he bought a coat, and he has left:
+%28+3%2F5%29%2Ax+-+%28+%282%2F5%29%2Ax+-+6+%29+
And you are given:
+%28+3%2F5%29%2Ax+-+%28+%282%2F5%29%2Ax+-+6+%29+=+37+
+%28+3%2F5+%29%2Ax+-+%28+2%2F5+%29%2Ax+%2B+6+=+37+
+%28+1%2F5%29%2Ax+=+31+
+x+=+155+
He started with $155
----------------------------
check:
$155 to start with
He spends +%282%2F5%29%2A155++=+62+
He has +155+-+62+=+93+
$93 left
and for the coat:
+62+-+6+=+56+
$56 is spent
+93+-+56+=+37+
He has $37 left
OK