math
posted by natasya on .
sally and susan had an equal amount of oney each. after sally spent $15 and susan spent $24, the ratio of sally's money to susan's money was 4:3. how much money did each girl have at first?

$24  $15 = $9.00.
They had the same amount left.But Susan
spent $9 more. Theefore, Susan had $9
more to begin with:
Sally had $X.
Susan had $(X+9).
(X+9)/X = 4/3.
4x = 3x + 27
X = $27.
X+9 = 27+9 = $36. 
After they spent the money of $15 and $24 respectively, Sally has $x+9 and Susan has $x. Which is at a ratio of 4:3
(x+9)/x=4/3
4x=3x+27
x=27
So after spending the money, Sally has $36 and Susan has $27.
How much did they have to start with? Add $15 to Sally and $24 to Susan.
36+15=51
27+24=51
They had $51 each to start with.