Seven hours ago, a grocer started his day with some mangoes and pomegranates in the ratio of 5 : 4. There were 240 pomegranates. Some of the mangoes were bought by Zoe. As a result, the number of mangoes became
25 of the pomegranates.
- How many mangoes did the grocer have left?
- How many mangoes did the grocer have to buy in order to have an equal number of mangoes and pomegranates?
|
Mangoes |
Pomegranates |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of pomegranates remains unchanged. Make the number of pomegranates the same. LCM of 4 and 5 is 20.
20 u = 240
1 u = 240 ÷ 20 = 12
Number of mangoes that the grocer had left
= 8 u
= 8 x 12
= 96
(b)
Number of mangoes that the grocer had to buy to have an equal number of mangoes and pomegranates
= 20 u - 8 u
= 12 u
= 12 x 12
= 144
Answer(s): (a) 96; (b) 144