Five hours ago, a stallholder started his day with some mangosteens and pomegranates in the ratio of 8 : 5. There were 180 pomegranates. Some of the mangosteens were bought by Wendy. As a result, the number of mangosteens became
56 of the pomegranates.
- How many mangosteens did the stallholder have left?
- How many mangosteens did the stallholder have to buy in order to have an equal number of mangosteens and pomegranates?
|
Mangosteens |
Pomegranates |
Before |
8x6 = 48 u |
5x6 = 30 u |
Change |
- ? |
|
After |
5x5 = 25 u |
6x5 = 30 u |
(a)
The number of pomegranates remains unchanged. Make the number of pomegranates the same. LCM of 5 and 6 is 30.
30 u = 180
1 u = 180 ÷ 30 = 6
Number of mangosteens that the stallholder had left
= 25 u
= 25 x 6
= 150
(b)
Number of mangosteens that the stallholder had to buy to have an equal number of mangosteens and pomegranates
= 30 u - 25 u
= 5 u
= 5 x 6
= 30
Answer(s): (a) 150; (b) 30