The ratio of Harris's marbles to Bryan's marbles at first was 3 : 7. After Harris gave Bryan 104 marbles, the ratio of Harris's marbles to Bryan's marbles is 1 : 3. What was the number of marbles they had in all?
|
Harris |
Bryan |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u
|
10x4 = 40 u |
Change |
- 104 |
+ 104 |
|
After |
1x10 = 10 u |
3x10 = 30 u |
4x10 = 40 u |
Number of marbles that Harris gave Bryan
= 12 u - 10 u
= 2 u
2 u = 104
1 u = 104 ÷ 2 = 52
Total number of marbles that they had
= 40 u
= 40 x 52
= 2080
Answer(s): 2080