Olivia and Vanessa collected cards. Vanessa gave 75% of her cards to Olivia. As a result, Olivia's cards increased by 20%. If Olivia had 198 cards left, find the total number of cards the two girls had at first.
| |
Comparing the change
in Vanessa's cards |
Vanessa |
Olivia |
| Before |
4x1 =
4 u |
|
5x3 =
15 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
1x1 =
1 u |
|
6x3 =
18 u |
75% =
75100 =
34 20% =
20100 =
15 The number of cards that Olivia gave to Vanessa is repeated. Make the number of cards that Olivia gave to Vanessa the same. LCM of 1 and 3 is 3.
Number of cards that Olivia had in the end = 18 u
18 u = 198
1 u = 198 ÷ 18 = 11
Number of cards that Vanessa and Olivia had at first
= 4 u + 15 u
= 19 u
= 19 x 11
= 209
Answer(s): 209
