Hilda and Olivia had an equal number of cards at first. Hilda used
15 of her cards and Olivia used
18 of her cards. They used 39 cards altogether. How many cards did Olivia have in the end?
| |
Hilda |
Olivia |
| Before |
5x8 =
40 u |
8x5 =
40 u |
| Change |
- 1x8 =
- 8 u |
- 1x5 =
- 5 u |
| After |
4x8 =
32 u |
7x5 =
35 u |
The number of cards that Hilda and Olivia each had at first is the same. Make the number of cards that Hilda and Olivia each had at first the same. LCM of 5 and 8 is 40.
Number of cards that Hilda and Olivia used
= 8 u + 5 u
= 13 u
13 u = 39
1 u = 39 ÷ 13 = 3
Number of cards that Olivia had in the end
= 35 u
= 35 x 3
= 105
Answer(s): 105
