Three hours ago, a stallholder started his day with some kiwis and mangosteens in the ratio of 5 : 3. There were 135 mangosteens. Some of the kiwis were bought by Diana. As a result, the number of kiwis became
25 of the mangosteens.
- How many kiwis did the stallholder have left?
- How many kiwis did the stallholder have to buy in order to have an equal number of kiwis and mangosteens?
|
Kiwis |
Mangosteens |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
2x3 = 6 u |
5x3 = 15 u |
(a)
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 3 and 5 is 15.
15 u = 135
1 u = 135 ÷ 15 = 9
Number of kiwis that the stallholder had left
= 6 u
= 6 x 9
= 54
(b)
Number of kiwis that the stallholder had to buy to have an equal number of kiwis and mangosteens
= 15 u - 6 u
= 9 u
= 9 x 9
= 81
Answer(s): (a) 54; (b) 81