Xandra had 154 more erasers than Irene. After Irene gave away
14 of her erasers, Xandra had five times as many erasers as Irene. How many erasers did Irene have at first?
| |
Xandra |
Irene |
Comparing Xandra
and Irene at first |
154 more |
|
| Before |
15 u |
4 u |
| Change |
|
- 1 u |
| After |
|
3 u |
Comparing Xandra
and Irene in the end |
5x3 =
15 u |
1x3 =
3 u |
The number of erasers that Xandra had at first and in the end remains unchanged. Make the number of erasers that Xandra had the same. LCM of 15 and 5 is 15.
Number of erasers that Xandra had more than Irene at first
= 15 u - 4 u
= 11 u
11 u = 154
1 u = 154 ÷ 11 = 14
Number of erasers that Irene had at first
= 4 u
= 4 x 14
= 56
Answer(s): 56
