The ratio of Christopher's cards to Luke's cards at first was 3 : 5. After Christopher gave Luke 28 cards, the ratio of Christopher's cards to Luke's cards is 1 : 3. What was the number of cards they had in all?
| |
Christopher |
Luke |
Total |
| Before |
3x4 =
12 u |
5x4 =
20 u
|
8x4 =
32 u |
| Change |
- 28 |
+ 28 |
|
| After |
1x8 =
8 u |
3x8 =
24 u |
4x8 =
32 u |
Number of cards that Christopher gave Luke
= 12 u - 8 u
= 4 u
4 u = 28
1 u = 28 ÷ 4 = 7
Total number of cards that they had
= 32 u
= 32 x 7
= 224
Answer(s): 224
