SOLUTION: 27.5% of Sam’s money is equal to 50% of Betty’s money. Sam has $90 more than Betty. How much money do they have altogether??

Algebra ->  Finance -> SOLUTION: 27.5% of Sam’s money is equal to 50% of Betty’s money. Sam has $90 more than Betty. How much money do they have altogether??      Log On


   

Question 1164367: 27.5% of Sam’s money is equal to 50% of Betty’s money. Sam has $90 more than Betty. How much money do they have altogether??
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y, Sam
x, Betty
system%280.275y=0.5x%2Cy-x=90%29

y=x%2B90
--
275y=500x
11y=20x
substitute,11%28x%2B90%29=20x
11x%2B990=20x
9x=990
highlight%28x=110%29
and
highlight%28y=200%29