Two hours ago, a fruit seller started his day with some mangoes and lemons in the ratio of 7 : 2. There were 30 lemons. Some of the mangoes were bought by Gillian. As a result, the number of mangoes became
45 of the lemons.
- How many mangoes did the fruit seller have at first?
- How many lemons did the fruit seller have to sell in order to have an equal number of mangoes and lemons?
|
Mangoes |
Lemons |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- ? |
|
After |
4x2 = 8 u |
5x2 = 10 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 2 and 5 is 10.
10 u = 30
1 u = 30 ÷ 10 = 3
Number of mangoes that the fruit seller had at first
= 35 u
= 35 x 3
= 105
(b)
Number of lemons that the fruit seller had to sell to have an equal number of mangoes and lemons
= 10 u - 8 u
= 2 u
= 2 x 3
= 6
Answer(s): (a) 105; (b) 6