Ivory and Kimberly collected erasers. Kimberly gave 60% of her erasers to Ivory. As a result, Ivory's erasers increased by 10%. If Ivory had 99 erasers left, find the total number of erasers the two girls had at first.
|
Comparing the change in Kimberly's erasers |
Kimberly |
Ivory |
Before |
5x1 = 5 u |
|
10x3 = 30 u |
Change |
- 3x1 = - 3 u |
- 1x3 = - 3 u |
+ 1x3 = + 3 u |
After |
2x1 = 2 u |
|
11x3 = 33 u |
60% =
60100 =
35 10% =
10100 =
110 The number of erasers that Ivory gave to Kimberly is repeated. Make the number of erasers that Ivory gave to Kimberly the same. LCM of 1 and 3 is 3.
Number of erasers that Ivory had in the end = 33 u
33 u = 99
1 u = 99 ÷ 33 = 3
Number of erasers that Kimberly and Ivory had at first
= 5 u + 30 u
= 35 u
= 35 x 3
= 105
Answer(s): 105