Shiyun and Xandra shared a box of marbles. Shiyun had 67% of the total marbles. if Shiyun gave 153 of her marbles to Xandra, both would have the same number of marbles. How many marbles did Shiyun have?
| |
Shiyun |
Xandra |
Total |
| Before |
67% |
33% |
100% |
| Change |
- 17% |
+ 17% |
|
| After |
50% |
50% |
100% |
Total number of marbles that Shiyun and Xandra shared = 100%
If Shiyun gave 153 marbles to Xandra, 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 Shiyun gave to Xandra
= 67% - 50%
= 17%
17% → 153
1% → 153 ÷ 17 = 9
Number of marbles that Shiyun had
= 67%
= 67 x 9
= 603
Answer(s): 603
