Natalie and Gillian collected stamps. Gillian gave 60% of her stamps to Natalie. As a result, Natalie's stamps increased by 10%. If Natalie had 165 stamps left, find the total number of stamps the two girls had at first.
| |
Comparing the change
in Gillian's stamps |
Gillian |
Natalie |
| Before |
5x1 =
5 u |
|
10x3 =
30 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
2x1 =
2 u |
|
11x3 =
33 u |
60% =
60100 =
35 10% =
10100 =
110 The number of stamps that Natalie gave to Gillian is repeated. Make the number of stamps that Natalie gave to Gillian the same. LCM of 1 and 3 is 3.
Number of stamps that Natalie had in the end = 33 u
33 u = 165
1 u = 165 ÷ 33 = 5
Number of stamps that Gillian and Natalie had at first
= 5 u + 30 u
= 35 u
= 35 x 5
= 175
Answer(s): 175
