In April, Nora and Zane had marbles in the ratio 7 : 5. In May, each of them gave away the same number of marbles. Nora then had four times as many marbles as Zane.
- Find the ratio of the number of marbles Zane had in April to the number of marbles he had in May.
- Find the ratio of the total number of marbles both had in April to the total number of marbles both had in May.
| |
Nora |
Zane |
Difference |
| Before |
7x3 =
21 u |
5x3 =
15 u |
2x3 =
6 u |
| Change |
- 13 u |
- 13 u |
|
| After |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
(a)
Since Nora and Zane gave away the same number of marbles, the difference in the number of marbles between Nora and Zane at first and in the end remains the same.
Make the difference in the number of marbles at first and in the end the same. LCM of 2 and 3 is 6.
Zane's marbles in April : Zane's marbles in May
15 : 2
(b)
Total number of marbles in April
= 21 u + 15 u
= 36 u
Total number of marbles in May
= 8 u + 2 u
= 10 u
Total marbles in April : Total marbles in May
36 : 10
(÷2)18 : 5
Answer(s): (a) 15 : 2; (b) 18 : 5
