The ratio of Emily's marbles to Salik's marbles at first was 3 : 5. After Emily gave Salik 48 marbles, the ratio of Emily's marbles to Salik's marbles is 1 : 3. What was the number of marbles they had altogether?
|
Emily |
Salik |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 48 |
+ 48 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of marbles that Emily gave Salik
= 12 u - 8 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Total number of marbles that they had
= 32 u
= 32 x 12
= 384
Answer(s): 384