Fanny and Jean shared a box of erasers. Fanny had 70% of the total erasers. if Fanny gave 120 of her erasers to Jean, both would have the same number of erasers. How many erasers did Fanny have?
|
Fanny |
Jean |
Total |
Before |
70% |
30% |
100% |
Change |
- 20% |
+ 20% |
|
After |
50% |
50% |
100% |
Total number of erasers that Fanny and Jean shared = 100%
If Fanny gave 120 erasers to Jean, 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 Fanny gave to Jean
= 70% - 50%
= 20%
20% → 120
1% → 120 ÷ 20 = 6
Number of erasers that Fanny had
= 70%
= 70 x 6
= 420
Answer(s): 420