Yoko and Diana collected stamps. Yoko gave 30% of her stamps to Diana and as a result, Diana's stamps increased by 25%. If Yoko had 56 stamps left, find the number of stamps Diana should give to Yoko in the end so that both had an equal number of stamps.
|
Yoko
|
Diana |
Comparing the change in Diana's stamps
|
Before
|
10x1 = 10 u |
|
4x3 = 12u |
Change
|
- 3x1 = - 3 u
|
+ 3x1 = + 3 u
|
+ 1x3 = + 3 u
|
After
|
7x1 = 7 u
|
|
5x3 = 15 u |
30% =
30100 =
31025% =
25100 =
14The increase in the number of stamps that Diana had is repeated. Make the increase in the number of stamps that Diana had the same. LCM of 3 and 1 = 3
7 u = 56
1 u = 56 ÷ 7 = 8
Number of stamps that Diana had more than Yoko in the end
= 15 u - 7 u
= 8 u
Number of stamps that Diana should give to Yoko so that both had an equal number of stamps in the end
= 8 u ÷ 2
= 4 u
= 4 x 8
= 32
Answer(s): 32