Barbara and Xandra shared a box of erasers. Barbara had 70% of the total erasers. if Barbara gave 160 of her erasers to Xandra, both would have the same number of erasers. How many erasers did Xandra have?
| |
Barbara |
Xandra |
Total |
| Before |
70% |
30% |
100% |
| Change |
- 20% |
+ 20% |
|
| After |
50% |
50% |
100% |
Total number of erasers that Barbara and Xandra shared = 100%
If Barbara gave 160 erasers to Xandra, 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 Barbara gave to Xandra
= 70% - 50%
= 20%
20% → 160
1% → 160 ÷ 20 = 8
Number of erasers that Xandra had
= 30%
= 30 x 8
= 240
Answer(s): 240
