The ratio of Ethan's marbles to Elijah's marbles at first was 3 : 5. After Ethan gave Elijah 104 marbles, the ratio of Ethan's marbles to Elijah's marbles is 1 : 3. What was the number of marbles they had in all?
|
Ethan |
Elijah |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 104 |
+ 104 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of marbles that Ethan gave Elijah
= 12 u - 8 u
= 4 u
4 u = 104
1 u = 104 ÷ 4 = 26
Total number of marbles that they had
= 32 u
= 32 x 26
= 832
Answer(s): 832