Three hours ago, a fruit seller started his day with some mangoes and apples in the ratio of 8 : 7. There were 420 apples. Some of the mangoes were bought by Zoe. As a result, the number of mangoes became
25 of the apples.
- How many mangoes did the fruit seller have at first?
- How many apples did the fruit seller have to sell in order to have an equal number of mangoes and apples?
|
Mangoes |
Apples |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
2x7 = 14 u |
5x7 = 35 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 7 and 5 is 35.
35 u = 420
1 u = 420 ÷ 35 = 12
Number of mangoes that the fruit seller had at first
= 40 u
= 40 x 12
= 480
(b)
Number of apples that the fruit seller had to sell to have an equal number of mangoes and apples
= 35 u - 14 u
= 21 u
= 21 x 12
= 252
Answer(s): (a) 480; (b) 252