The ratio of Layla's marbles to Joseph's marbles at first was 2 : 5. After Layla gave Joseph 57 marbles, the ratio of Layla's marbles to Joseph's marbles is 1 : 4. What was the number of marbles they had in all?
|
Layla |
Joseph |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 57 |
+ 57 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of marbles that Layla gave Joseph
= 10 u - 7 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Total number of marbles that they had
= 35 u
= 35 x 19
= 665
Answer(s): 665