Two hours ago, a stallholder started his day with some mangosteens and chikoos in the ratio of 8 : 7. There were 84 chikoos. Some of the mangosteens were bought by Gillian. As a result, the number of mangosteens became
34 of the chikoos.
- How many mangosteens did the stallholder have left?
- How many mangosteens did the stallholder have to buy in order to have an equal number of mangosteens and chikoos?
|
Mangosteens |
Chikoos |
Before |
8x4 = 32 u |
7x4 = 28 u |
Change |
- ? |
|
After |
3x7 = 21 u |
4x7 = 28 u |
(a)
The number of chikoos remains unchanged. Make the number of chikoos the same. LCM of 7 and 4 is 28.
28 u = 84
1 u = 84 ÷ 28 = 3
Number of mangosteens that the stallholder had left
= 21 u
= 21 x 3
= 63
(b)
Number of mangosteens that the stallholder had to buy to have an equal number of mangosteens and chikoos
= 28 u - 21 u
= 7 u
= 7 x 3
= 21
Answer(s): (a) 63; (b) 21