Linda and Elyse collected stamps. Elyse gave 70% of her stamps to Linda. As a result, Linda's stamps increased by 10%. If Linda had 462 stamps left, find the total number of stamps the two girls had at first.
|
Comparing the change in Elyse's stamps |
Elyse |
Linda |
Before |
10x1 = 10 u |
|
10x7 = 70 u |
Change |
- 7x1 = - 7 u |
- 1x7 = - 7 u |
+ 1x7 = + 7 u |
After |
3x1 = 3 u |
|
11x7 = 77 u |
70% =
70100 =
710 10% =
10100 =
110 The number of stamps that Linda gave to Elyse is repeated. Make the number of stamps that Linda gave to Elyse the same. LCM of 1 and 7 is 7.
Number of stamps that Linda had in the end = 77 u
77 u = 462
1 u = 462 ÷ 77 = 6
Number of stamps that Elyse and Linda had at first
= 10 u + 70 u
= 80 u
= 80 x 6
= 480
Answer(s): 480