Ahmad has 10% as many cards as Jeremy. If Ahmad gives away 25% of the cards and Jeremy gives away 75% of his cards, they will have 143 cards altogether. How many cards do the two of them have?
| |
Ahmad |
Jeremy |
Total |
Comparing Ahmad
and Jeremy at first |
1x4 =
4 u |
10x4 =
40 u |
|
| Before |
4x1 =
4 u |
4x10 =
40 u |
|
| Change |
- 1x1 =
- 1 u |
- 3x10 =
- 30 u |
|
| After |
3x1 =
3 u |
1x10 =
10 u |
143 |
10% =
10100 =
110 25% =
25100 =
14 75% =
75100 =
34 The number of cards that Ahmad has at first is repeated. Make the number of cards that Ahmad has the same. LCM of 1 and 4 is 4 u.
The number of cards that Jeremy has at first is repeated. Make the number of cards that Jeremy has the same. LCM of 10 and 4 is 40 u.
Number of cards in the end
= 3 u + 10 u
= 13 u
13 u = 143
1 u = 143 ÷ 13 = 11
Total number of cards that the two of them have
= 4 u + 40 u
= 44 u
= 44 x 11
= 484
Answer(s): 484
