Cathy and Usha collected cards. Cathy gave 40% of her cards to Usha. As a result, Usha's cards increased by 80%. If Cathy had 54 cards left, find the total number of cards the two girls had at first.
| |
Cathy |
Usha |
Comparing the change
in Usha's cards |
| Before |
5x2 =
10 u |
|
5x1 =
5 u |
| Change |
- 2x2 =
- 4 u |
+ 2x2 =
+ 4 u |
+ 4x1 =
+ 4 u |
| After |
3x2 =
6 u |
|
9x1 =
9 u |
40% =
40100 =
25 80% =
80100 =
45 The number of cards that Cathy gave to Usha is repeated. Make the number of cards that Cathy gave to Usha the same. LCM of 2 and 4 is 4.
Number of cards that Cathy had in the end = 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
Number of cards that Cathy and Usha had at first
= 10 u + 5 u
= 15 u
= 15 x 9
= 135
Answer(s): 135
