Diana and Yoko collected stamps. Yoko gave 80% of her stamps to Diana. As a result, Diana's stamps increased by 40%. If Diana had 98 stamps left, find the total number of stamps the two girls had at first.
| |
Comparing the change
in Yoko's stamps |
Yoko |
Diana |
| Before |
5x1 =
5 u |
|
5x2 =
10 u |
| Change |
- 4x1 =
- 4 u |
- 2x2 =
- 4 u |
+ 2x2 =
+ 4 u |
| After |
1x1 =
1 u |
|
7x2 =
14 u |
80% =
80100 =
45 40% =
40100 =
25 The number of stamps that Diana gave to Yoko is repeated. Make the number of stamps that Diana gave to Yoko the same. LCM of 2 and 4 is 4.
Number of stamps that Diana had in the end = 14 u
14 u = 98
1 u = 98 ÷ 14 = 7
Number of stamps that Yoko and Diana had at first
= 5 u + 10 u
= 15 u
= 15 x 7
= 105
Answer(s): 105
