Xandra and Fiona shared a box of buttons. Xandra had 64% of the total buttons. if Xandra gave 70 of her buttons to Fiona, both would have the same number of buttons. How many buttons did Xandra have?
|
Xandra |
Fiona |
Total |
Before |
64% |
36% |
100% |
Change |
- 14% |
+ 14% |
|
After |
50% |
50% |
100% |
Total number of buttons that Xandra and Fiona shared = 100%
If Xandra gave 70 buttons to Fiona, both would have the same number of buttons.
Number of buttons that each would have in the end
= 100% ÷ 2
= 50%
Number of buttons that Xandra gave to Fiona
= 64% - 50%
= 14%
14% → 70
1% → 70 ÷ 14 = 5
Number of buttons that Xandra had
= 64%
= 64 x 5
= 320
Answer(s): 320