Five hours ago, a store owner started his day with some pomegranates and persimmons in the ratio of 8 : 3. There were 165 persimmons. Some of the pomegranates were bought by Winnie. As a result, the number of pomegranates became
35 of the persimmons.
- How many pomegranates did the store owner have at first?
- How many persimmons did the store owner have to sell in order to have an equal number of pomegranates and persimmons?
|
Pomegranates |
Persimmons |
Before |
8x5 = 40 u |
3x5 = 15 u |
Change |
- ? |
|
After |
3x3 = 9 u |
5x3 = 15 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 3 and 5 is 15.
15 u = 165
1 u = 165 ÷ 15 = 11
Number of pomegranates that the store owner had at first
= 40 u
= 40 x 11
= 440
(b)
Number of persimmons that the store owner had to sell to have an equal number of pomegranates and persimmons
= 15 u - 9 u
= 6 u
= 6 x 11
= 66
Answer(s): (a) 440; (b) 66