Three hours ago, a store owner started his day with some passion fruits and apples in the ratio of 5 : 3. There were 165 apples. Some of the passion fruits were bought by Raeann. As a result, the number of passion fruits became
35 of the apples.
- How many passion fruits did the store owner have left?
- How many passion fruits did the store owner have to buy in order to have an equal number of passion fruits and apples?
|
Passion Fruits |
Apples |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
3x3 = 9 u |
5x3 = 15 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 3 and 5 is 15.
15 u = 165
1 u = 165 ÷ 15 = 11
Number of passion fruits that the store owner had left
= 9 u
= 9 x 11
= 99
(b)
Number of passion fruits that the store owner had to buy to have an equal number of passion fruits and apples
= 15 u - 9 u
= 6 u
= 6 x 11
= 66
Answer(s): (a) 99; (b) 66