The ratio of Nathan's marbles to Gavin's marbles at first was 2 : 5. After Nathan gave Gavin 33 marbles, the ratio of Nathan's marbles to Gavin's marbles is 1 : 4. What was the number of marbles they had in total?
|
Nathan |
Gavin |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 33 |
+ 33 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of marbles that Nathan gave Gavin
= 10 u - 7 u
= 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total number of marbles that they had
= 35 u
= 35 x 11
= 385
Answer(s): 385