Seven hours ago, a grocer started his day with some apples and mangosteens in the ratio of 5 : 4. There were 140 mangosteens. Some of the apples were bought by Hazel. As a result, the number of apples became
25 of the mangosteens.
- How many apples did the grocer have at first?
- How many mangosteens did the grocer have to sell in order to have an equal number of apples and mangosteens?
|
Apples |
Mangosteens |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 4 and 5 is 20.
20 u = 140
1 u = 140 ÷ 20 = 7
Number of apples that the grocer had at first
= 25 u
= 25 x 7
= 175
(b)
Number of mangosteens that the grocer had to sell to have an equal number of apples and mangosteens
= 20 u - 8 u
= 12 u
= 12 x 7
= 84
Answer(s): (a) 175; (b) 84