Rachel had 160 more erasers than Natalie. After Natalie gave away
13 of her erasers, Rachel had four times as many erasers as Natalie. How many erasers did Natalie have at first?
| |
Rachel |
Natalie |
Comparing Rachel
and Natalie at first |
160 more |
|
| Before |
8 u |
3 u |
| Change |
|
- 1 u |
| After |
|
2 u |
Comparing Rachel
and Natalie in the end |
4x2 =
8 u |
1x2 =
2 u |
The number of erasers that Rachel had at first and in the end remains unchanged. Make the number of erasers that Rachel had the same. LCM of 8 and 4 is 8.
Number of erasers that Rachel had more than Natalie at first
= 8 u - 3 u
= 5 u
5 u = 160
1 u = 160 ÷ 5 = 32
Number of erasers that Natalie had at first
= 3 u
= 3 x 32
= 96
Answer(s): 96
