Ivory had 15 more cards than Olivia. After Olivia gave away
14 of her cards, Ivory had thrice as many cards as Olivia. How many cards did Olivia have at first?
| |
Ivory |
Olivia |
Comparing Ivory and
Olivia at first |
15 more |
|
| Before |
9 u |
4 u |
| Change |
|
- 1 u |
| After |
9 u |
3 u |
Comparing Ivory and
Olivia in the end |
3x3 =
9 u |
1x3 =
3 u |
Number of cards that Olivia had in the end is repeated. Make the number of cards that Olivia had in the end the same. LCM of 1 and 3 is 3.
Number of cards that Ivory had at first = 9 u
Number of cards that Ivory had more than Olivia at first
= 9 u - 4 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Number of cards that Olivia had at first
= 4 u
= 4 x 3
= 12
Answer(s): 12
