Two hours ago, a stallholder started his day with some mangosteens and persimmons in the ratio of 8 : 7. There were 196 persimmons. Some of the mangosteens were bought by Betty. As a result, the number of mangosteens became
34 of the persimmons.
- How many mangosteens did the stallholder have at first?
- How many persimmons did the stallholder have to sell in order to have an equal number of mangosteens and persimmons?
|
Mangosteens |
Persimmons |
Before |
8x4 = 32 u |
7x4 = 28 u |
Change |
- ? |
|
After |
3x7 = 21 u |
4x7 = 28 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 7 and 4 is 28.
28 u = 196
1 u = 196 ÷ 28 = 7
Number of mangosteens that the stallholder had at first
= 32 u
= 32 x 7
= 224
(b)
Number of persimmons that the stallholder had to sell to have an equal number of mangosteens and persimmons
= 28 u - 21 u
= 7 u
= 7 x 7
= 49
Answer(s): (a) 224; (b) 49