SOLUTION: Meghan has 100 dollars more than Andrew has. After Meghan spends 20 dollars on groceries, she will have five times as much money as Andrew. How much money does Andrew have?

Click here to see ALL problems on Miscellaneous Word Problems

Question 177555: Meghan has 100 dollars more than Andrew has. After Meghan spends 20 dollars on groceries, she will have five times as much money as Andrew. How much money does Andrew have?
Found 2 solutions by stanbon, Mathtut:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Meghan has 100 dollars more than Andrew has. After Meghan spends 20 dollars on groceries, she will have five times as much money as Andrew. How much money does Andrew have?
----------------------------
M = A + 100
M-20 = 5A
-----------------
Rearrange:
M - A = 100
M -5A = 20
----------------
Subtract 2nd from 1st to get:
4A = 80
A = 80
---------------
Substitute to solve for M:
M = 80+100 = 180
========================
Cheers,
Stan H.

Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website!
let m and a be the amount of money meghan and andrew each have respectively
:
m=a+100.....eq 1
m-20=5a.....eq 2
:
take m's value from eq 1 and plug it into eq 2
:
a+100-20=5a
:
4a=80
:
dollars for Andrew
:
dollars for Meghan