Xavier has 70% as many cards as Glen. If Xavier gives away 50% of the cards and Glen gives away 75% of his cards, they will have 132 cards altogether. How many cards do the two of them have?
| |
Xavier |
Glen |
Total |
Comparing Xavier
and Glen at first |
7x2 =
14 u |
10x2 =
20 u |
|
| Before |
2x7 =
14 u |
4x5 =
20 u |
|
| Change |
- 1x7 =
- 7 u |
- 3x5 =
- 15 u |
|
| After |
1x7 =
7 u |
1x5 =
5 u |
132 |
70% =
70100 =
710 50% =
50100 =
12 75% =
75100 =
34 The number of cards that Xavier has at first is repeated. Make the number of cards that Xavier has the same. LCM of 7 and 2 is 14 u.
The number of cards that Glen has at first is repeated. Make the number of cards that Glen has the same. LCM of 10 and 4 is 20 u.
Number of cards in the end
= 7 u + 5 u
= 12 u
12 u = 132
1 u = 132 ÷ 12 = 11
Total number of cards that the two of them have
= 14 u + 20 u
= 34 u
= 34 x 11
= 374
Answer(s): 374
