Liam has 30% as many cards as Peter. If Liam gives away 25% of the cards and Peter gives away 80% of his cards, they will have 68 cards altogether. How many cards do the two of them have?
| |
Liam |
Peter |
Total |
Comparing Liam
and Peter at first |
3x4 =
12 u |
10x4 =
40 u |
|
| Before |
4x3 =
12 u |
5x8 =
40 u |
|
| Change |
- 1x3 =
- 3 u |
- 4x8 =
- 32 u |
|
| After |
3x3 =
9 u |
1x8 =
8 u |
68 |
30% =
30100 =
310 25% =
25100 =
14 80% =
80100 =
45 The number of cards that Liam has at first is repeated. Make the number of cards that Liam has the same. LCM of 3 and 4 is 12 u.
The number of cards that Peter has at first is repeated. Make the number of cards that Peter has the same. LCM of 10 and 5 is 40 u.
Number of cards in the end
= 9 u + 8 u
= 17 u
17 u = 68
1 u = 68 ÷ 17 = 4
Total number of cards that the two of them have
= 12 u + 40 u
= 52 u
= 52 x 4
= 208
Answer(s): 208
