Natalie and Esther collected erasers. Esther gave 80% of her erasers to Natalie. As a result, Natalie's erasers increased by 30%. If Natalie had 208 erasers left, find the total number of erasers the two girls had at first.
| |
Comparing the change
in Esther's erasers |
Esther |
Natalie |
| Before |
5x3 =
15 u |
|
10x4 =
40 u |
| Change |
- 4x3 =
- 12 u |
- 3x4 =
- 12 u |
+ 3x4 =
+ 12 u |
| After |
1x3 =
3 u |
|
13x4 =
52 u |
80% =
80100 =
45 30% =
30100 =
310 The number of erasers that Natalie gave to Esther is repeated. Make the number of erasers that Natalie gave to Esther the same. LCM of 3 and 4 is 12.
Number of erasers that Natalie had in the end = 52 u
52 u = 208
1 u = 208 ÷ 52 = 4
Number of erasers that Esther and Natalie had at first
= 15 u + 40 u
= 55 u
= 55 x 4
= 220
Answer(s): 220
