Lynn and Lucy collected erasers. Lynn gave 25% of her erasers to Lucy and as a result, Lucy's erasers increased by 30%. If Lynn had 63 erasers left, find the number of erasers Lucy should give to Lynn in the end so that both had an equal number of erasers.
|
Lynn
|
Lucy |
Comparing the change in Lucy'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 Lucy had is repeated. Make the increase in the number of erasers that Lucy had the same. LCM of 1 and 3 = 3
9 u = 63
1 u = 63 ÷ 9 = 7
Number of erasers that Lucy had more than Lynn in the end
= 13 u - 9 u
= 4 u
Number of erasers that Lucy should give to Lynn so that both had an equal number of erasers in the end
= 4 u ÷ 2
= 2 u
= 2 x 7
= 14
Answer(s): 14