Emily and Winnie collected cards. Emily gave 20% of her cards to Winnie. As a result, Winnie's cards increased by 75%. If Emily had 120 cards left, find the total number of cards the two girls had at first.
| |
Emily |
Winnie |
Comparing the change
in Winnie's cards |
| Before |
5x3 =
15 u |
|
4x1 =
4 u |
| Change |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
+ 3x1 =
+ 3 u |
| After |
4x3 =
12 u |
|
7x1 =
7 u |
20% =
20100 =
15 75% =
75100 =
34 The number of cards that Emily gave to Winnie is repeated. Make the number of cards that Emily gave to Winnie the same. LCM of 1 and 3 is 3.
Number of cards that Emily had in the end = 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Number of cards that Emily and Winnie had at first
= 15 u + 4 u
= 19 u
= 19 x 10
= 190
Answer(s): 190
