Olivia and Diana shared a box of erasers. Olivia had 80% of the total erasers. if Olivia gave 120 of her erasers to Diana, both would have the same number of erasers. How many erasers did Diana have?
| |
Olivia |
Diana |
Total |
| Before |
80% |
20% |
100% |
| Change |
- 30% |
+ 30% |
|
| After |
50% |
50% |
100% |
Total number of erasers that Olivia and Diana shared = 100%
If Olivia gave 120 erasers to Diana, both would have the same number of erasers.
Number of erasers that each would have in the end
= 100% ÷ 2
= 50%
Number of erasers that Olivia gave to Diana
= 80% - 50%
= 30%
30% → 120
1% → 120 ÷ 30 = 4
Number of erasers that Diana had
= 20%
= 20 x 4
= 80
Answer(s): 80
