SOLUTION: The ratio of All's saving to John's savings was 3:5 at first. After Ali saved another $110 and John spent $16, the ratio of Alls savings to John's savings became 5:4. How much savi

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of All's saving to John's savings was 3:5 at first. After Ali saved another $110 and John spent $16, the ratio of Alls savings to John's savings became 5:4. How much savi      Log On


   

Question 1205991: The ratio of All's saving to John's savings was 3:5 at first. After Ali saved another $110 and John spent $16, the ratio of Alls savings to John's savings became 5:4. How much savings did Ali have at first?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%2B110%29%2F%285x-16%29=5%2F4

4%283x%2B110%29=5%285x-16

12x%2B440=25x-80

13x=520

x=40

Ali had 120 dollars at first.

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Given the ratio of 3:5 for the amounts of savings for Ali and John, one common way to set up the problem is to use 3x and 5x for the respective amounts of their savings.

3x = Ali's savings
5x = John's savings

3x+110 = Ali's new amount
5x-16 = John's new amount

The ratio of Ali to John is now 5:4.

%283x%2B110%29%2F%285x-16%29=5%2F4
5%285x-16%29=4%283x%2B110%29
25x-80=12x%2B440
13x=520
x=520%2F13=40

ANSWER: The amount of Ali's savings at first was 3x = $120