In April, Jean and Vaidev had erasers in the ratio 11 : 4. In May, each of them gave away the same number of erasers. Jean then had five times as many erasers as Vaidev.
- Find the ratio of the number of erasers Vaidev had in April to the number of erasers he had in May.
- Find the ratio of the total number of erasers both had in April to the total number of erasers both had in May.
| |
Jean |
Vaidev |
Difference |
| Before |
11x4 =
44 u |
4x4 =
16 u |
7x4 =
28 u |
| Change |
- 9 u |
- 9 u |
|
| After |
5x7 =
35 u |
1x7 =
7 u |
4x7 =
28 u |
(a)
Since Jean and Vaidev gave away the same number of erasers, the difference in the number of erasers between Jean and Vaidev at first and in the end remains the same.
Make the difference in the number of erasers at first and in the end the same. LCM of 7 and 4 is 28.
Vaidev's erasers in April : Vaidev's erasers in May
16 : 7
(b)
Total number of erasers in April
= 44 u + 16 u
= 60 u
Total number of erasers in May
= 35 u + 7 u
= 42 u
Total erasers in April : Total erasers in May
60 : 42
(÷6)10 : 7
Answer(s): (a) 16 : 7; (b) 10 : 7
