Fanny and Abi collected cards. Abi gave 60% of her cards to Fanny. As a result, Fanny's cards increased by 20%. If Fanny had 90 cards left, find the total number of cards the two girls had at first.
| |
Comparing the change
in Abi's cards |
Abi |
Fanny |
| Before |
5x1 =
5 u |
|
5x3 =
15 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
2x1 =
2 u |
|
6x3 =
18 u |
60% =
60100 =
35 20% =
20100 =
15 The number of cards that Fanny gave to Abi is repeated. Make the number of cards that Fanny gave to Abi the same. LCM of 1 and 3 is 3.
Number of cards that Fanny had in the end = 18 u
18 u = 90
1 u = 90 ÷ 18 = 5
Number of cards that Abi and Fanny had at first
= 5 u + 15 u
= 20 u
= 20 x 5
= 100
Answer(s): 100
