The ratio of Violet's marbles to Evan's marbles at first was 3 : 5. After Violet gave Evan 108 marbles, the ratio of Violet's marbles to Evan's marbles is 1 : 3. What was the number of marbles they had in total?
|
Violet |
Evan |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 108 |
+ 108 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of marbles that Violet gave Evan
= 12 u - 8 u
= 4 u
4 u = 108
1 u = 108 ÷ 4 = 27
Total number of marbles that they had
= 32 u
= 32 x 27
= 864
Answer(s): 864