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