SOLUTION: Alan and Mike had $800 altogether. 1/4 of Alan’s money was $65 more than 1/5 of Mike’s money. How much more money than Mike did Alan have?

Question 1184819: Alan and Mike had $800 altogether. 1/4 of Alan’s money was $65 more than 1/5 of Mike’s money. How much more money than Mike did Alan have?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
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Alan and Mike had $800 altogether. 1/4 of Alan’s money was $65 more than 1/5 of Mike’s money.
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Give variables and translate into equations.

n, alan
k, mike

Do what you need. Question is find k-n.
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

Probably easier if you use a single variable....

x=Alan's amount
800-x=Mike's amount

1/4 of Alan’s money was $65 more than 1/5 of Mike’s money:

I would multiply through by the least common denominator (20) to make the rest of the work easier.

I'll let you finish from there....

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