Nicole and Anna collected erasers. Nicole gave 25% of her erasers to Anna and as a result, Anna's erasers increased by 30%. If Nicole had 90 erasers left, find the number of erasers Anna should give to Nicole in the end so that both had an equal number of erasers.
|
Nicole
|
Anna |
Comparing the change in Anna's erasers
|
Before
|
4x3 = 12 u |
|
10x1 = 10u |
Change
|
- 1x3 = - 3 u
|
+ 1x3 = + 3 u
|
+ 3x1 = + 3 u
|
After
|
3x3 = 9 u
|
|
13x1 = 13 u |
25% =
25100 =
1430% =
30100 =
310The increase in the number of erasers that Anna had is repeated. Make the increase in the number of erasers that Anna had the same. LCM of 1 and 3 = 3
9 u = 90
1 u = 90 ÷ 9 = 10
Number of erasers that Anna had more than Nicole in the end
= 13 u - 9 u
= 4 u
Number of erasers that Anna should give to Nicole so that both had an equal number of erasers in the end
= 4 u ÷ 2
= 2 u
= 2 x 10
= 20
Answer(s): 20