The ratio of Lilian's marbles to Victoria's marbles at first was 2 : 5. After Lilian gave Victoria 51 marbles, the ratio of Lilian's marbles to Victoria's marbles is 1 : 4. What was the number of marbles they had altogether?
|
Lilian |
Victoria |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 51 |
+ 51 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of marbles that Lilian gave Victoria
= 10 u - 7 u
= 3 u
3 u = 51
1 u = 51 ÷ 3 = 17
Total number of marbles that they had
= 35 u
= 35 x 17
= 595
Answer(s): 595