Sam has 10% as many cards as Bryan. If Sam gives away 25% of the cards and Bryan gives away 30% of his cards, they will have 62 cards altogether. How many cards do the two of them have?
| |
Sam |
Bryan |
Total |
Comparing Sam
and Bryan at first |
1x4 =
4 u |
10x4 =
40 u |
|
| Before |
4x1 =
4 u |
10x4 =
40 u |
|
| Change |
- 1x1 =
- 1 u |
- 3x4 =
- 12 u |
|
| After |
3x1 =
3 u |
7x4 =
28 u |
62 |
10% =
10100 =
110 25% =
25100 =
14 30% =
30100 =
310 The number of cards that Sam has at first is repeated. Make the number of cards that Sam has the same. LCM of 1 and 4 is 4 u.
The number of cards that Bryan has at first is repeated. Make the number of cards that Bryan has the same. LCM of 10 and 10 is 40 u.
Number of cards in the end
= 3 u + 28 u
= 31 u
31 u = 62
1 u = 62 ÷ 31 = 2
Total number of cards that the two of them have
= 4 u + 40 u
= 44 u
= 44 x 2
= 88
Answer(s): 88
