Olivia and Lynn shared a box of cards. Olivia had 70% of the total cards. if Olivia gave 100 of her cards to Lynn, both would have the same number of cards. How many cards did Olivia have?
| |
Olivia |
Lynn |
Total |
| Before |
70% |
30% |
100% |
| Change |
- 20% |
+ 20% |
|
| After |
50% |
50% |
100% |
Total number of cards that Olivia and Lynn shared = 100%
If Olivia gave 100 cards to Lynn, both would have the same number of cards.
Number of cards that each would have in the end
= 100% ÷ 2
= 50%
Number of cards that Olivia gave to Lynn
= 70% - 50%
= 20%
20% → 100
1% → 100 ÷ 20 = 5
Number of cards that Olivia had
= 70%
= 70 x 5
= 350
Answer(s): 350
