Julie and Xandra collected stamps. Xandra gave 80% of her stamps to Julie. As a result, Julie's stamps increased by 10%. If Julie had 176 stamps left, find the total number of stamps the two girls had at first.
| |
Comparing the change
in Xandra's stamps |
Xandra |
Julie |
| Before |
5x1 =
5 u |
|
10x4 =
40 u |
| Change |
- 4x1 =
- 4 u |
- 1x4 =
- 4 u |
+ 1x4 =
+ 4 u |
| After |
1x1 =
1 u |
|
11x4 =
44 u |
80% =
80100 =
45 10% =
10100 =
110 The number of stamps that Julie gave to Xandra is repeated. Make the number of stamps that Julie gave to Xandra the same. LCM of 1 and 4 is 4.
Number of stamps that Julie had in the end = 44 u
44 u = 176
1 u = 176 ÷ 44 = 4
Number of stamps that Xandra and Julie had at first
= 5 u + 40 u
= 45 u
= 45 x 4
= 180
Answer(s): 180
