Five hours ago, a stallholder started his day with some oranges and passion fruits in the ratio of 5 : 3. There were 90 passion fruits. Some of the oranges were bought by Sabrina. As a result, the number of oranges became
45 of the passion fruits.
- How many oranges did the stallholder have left?
- How many oranges did the stallholder have to buy in order to have an equal number of oranges and passion fruits?
|
Oranges |
Passion Fruits |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
4x3 = 12 u |
5x3 = 15 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 3 and 5 is 15.
15 u = 90
1 u = 90 ÷ 15 = 6
Number of oranges that the stallholder had left
= 12 u
= 12 x 6
= 72
(b)
Number of oranges that the stallholder had to buy to have an equal number of oranges and passion fruits
= 15 u - 12 u
= 3 u
= 3 x 6
= 18
Answer(s): (a) 72; (b) 18