Four hours ago, a stallholder started his day with some mangoes and passion fruits in the ratio of 7 : 4. There were 140 passion fruits. Some of the mangoes were bought by Victoria. As a result, the number of mangoes became
35 of the passion fruits.
- How many mangoes did the stallholder have left?
- How many mangoes did the stallholder have to buy in order to have an equal number of mangoes and passion fruits?
|
Mangoes |
Passion Fruits |
Before |
7x5 = 35 u |
4x5 = 20 u |
Change |
- ? |
|
After |
3x4 = 12 u |
5x4 = 20 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 4 and 5 is 20.
20 u = 140
1 u = 140 ÷ 20 = 7
Number of mangoes that the stallholder had left
= 12 u
= 12 x 7
= 84
(b)
Number of mangoes that the stallholder had to buy to have an equal number of mangoes and passion fruits
= 20 u - 12 u
= 8 u
= 8 x 7
= 56
Answer(s): (a) 84; (b) 56