Gabby and Olivia collected stamps. Gabby gave 40% of her stamps to Olivia. As a result, Olivia's stamps increased by 60%. If Gabby had 36 stamps left, find the total number of stamps the two girls had at first.
|
Gabby |
Olivia |
Comparing the change in Olivia's stamps |
Before |
5x3 = 15 u |
|
5x2 = 10 u |
Change |
- 2x3 = - 6 u |
+ 2x3 = + 6 u |
+ 3x2 = + 6 u |
After |
3x3 = 9 u |
|
8x2 = 16 u |
40% =
40100 =
25 60% =
60100 =
35 The number of stamps that Gabby gave to Olivia is repeated. Make the number of stamps that Gabby gave to Olivia the same. LCM of 2 and 3 is 6.
Number of stamps that Gabby had in the end = 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Number of stamps that Gabby and Olivia had at first
= 15 u + 10 u
= 25 u
= 25 x 4
= 100
Answer(s): 100