Linda and Nora collected cards. Linda gave 10% of her cards to Nora. As a result, Nora's cards increased by 60%. If Linda had 162 cards left, find the total number of cards the two girls had at first.
| |
Linda |
Nora |
Comparing the change
in Nora's cards |
| Before |
10x3 =
30 u |
|
5x1 =
5 u |
| Change |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
+ 3x1 =
+ 3 u |
| After |
9x3 =
27 u |
|
8x1 =
8 u |
10% =
10100 =
110 60% =
60100 =
35 The number of cards that Linda gave to Nora is repeated. Make the number of cards that Linda gave to Nora the same. LCM of 1 and 3 is 3.
Number of cards that Linda had in the end = 27 u
27 u = 162
1 u = 162 ÷ 27 = 6
Number of cards that Linda and Nora had at first
= 30 u + 5 u
= 35 u
= 35 x 6
= 210
Answer(s): 210
