Five hours ago, a stallholder started his day with some mangosteens and mangoes in the ratio of 5 : 2. There were 120 mangoes. Some of the mangosteens were bought by Gillian. As a result, the number of mangosteens became
45 of the mangoes.
- How many mangosteens did the stallholder have at first?
- How many mangoes did the stallholder have to sell in order to have an equal number of mangosteens and mangoes?
|
Mangosteens |
Mangoes |
Before |
5x5 = 25 u |
2x5 = 10 u |
Change |
- ? |
|
After |
4x2 = 8 u |
5x2 = 10 u |
(a)
The number of mangoes remains unchanged. Make the number of mangoes the same. LCM of 2 and 5 is 10.
10 u = 120
1 u = 120 ÷ 10 = 12
Number of mangosteens that the stallholder had at first
= 25 u
= 25 x 12
= 300
(b)
Number of mangoes that the stallholder had to sell to have an equal number of mangosteens and mangoes
= 10 u - 8 u
= 2 u
= 2 x 12
= 24
Answer(s): (a) 300; (b) 24