Rachel and Eva shared a box of marbles. Rachel had 63% of the total marbles. if Rachel gave 117 of her marbles to Eva, both would have the same number of marbles. How many marbles did Rachel have?
| |
Rachel |
Eva |
Total |
| Before |
63% |
37% |
100% |
| Change |
- 13% |
+ 13% |
|
| After |
50% |
50% |
100% |
Total number of marbles that Rachel and Eva shared = 100%
If Rachel gave 117 marbles to Eva, both would have the same number of marbles.
Number of marbles that each would have in the end
= 100% ÷ 2
= 50%
Number of marbles that Rachel gave to Eva
= 63% - 50%
= 13%
13% → 117
1% → 117 ÷ 13 = 9
Number of marbles that Rachel had
= 63%
= 63 x 9
= 567
Answer(s): 567
