Eight hours ago, a store owner started his day with some persimmons and mangoes in the ratio of 5 : 4. There were 60 mangoes. Some of the persimmons were bought by Jade. As a result, the number of persimmons became
25 of the mangoes.
- How many persimmons did the store owner have left?
- How many persimmons did the store owner have to buy in order to have an equal number of persimmons and mangoes?
|
Persimmons |
Mangoes |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of mangoes remains unchanged. Make the number of mangoes the same. LCM of 4 and 5 is 20.
20 u = 60
1 u = 60 ÷ 20 = 3
Number of persimmons that the store owner had left
= 8 u
= 8 x 3
= 24
(b)
Number of persimmons that the store owner had to buy to have an equal number of persimmons and mangoes
= 20 u - 8 u
= 12 u
= 12 x 3
= 36
Answer(s): (a) 24; (b) 36