Five hours ago, a fruit seller started his day with some mangosteens and mangoes in the ratio of 5 : 4. There were 144 mangoes. Some of the mangosteens were bought by Emily. As a result, the number of mangosteens became
56 of the mangoes.
- How many mangosteens did the fruit seller have at first?
- How many mangoes did the fruit seller have to sell in order to have an equal number of mangosteens and mangoes?
|
Mangosteens |
Mangoes |
Before |
5x3 = 15 u |
4x3 = 12 u |
Change |
- ? |
|
After |
5x2 = 10 u |
6x2 = 12 u |
(a)
The number of mangoes remains unchanged. Make the number of mangoes the same. LCM of 4 and 6 is 12.
12 u = 144
1 u = 144 ÷ 12 = 12
Number of mangosteens that the fruit seller had at first
= 15 u
= 15 x 12
= 180
(b)
Number of mangoes that the fruit seller had to sell to have an equal number of mangosteens and mangoes
= 12 u - 10 u
= 2 u
= 2 x 12
= 24
Answer(s): (a) 180; (b) 24