Five hours ago, a grocer started his day with some mangoes and persimmons in the ratio of 8 : 3. There were 108 persimmons. Some of the mangoes were bought by Kathy. As a result, the number of mangoes became
34 of the persimmons.
- How many mangoes did the grocer have left?
- How many mangoes did the grocer have to buy in order to have an equal number of mangoes and persimmons?
|
Mangoes |
Persimmons |
Before |
8x4 = 32 u |
3x4 = 12 u |
Change |
- ? |
|
After |
3x3 = 9 u |
4x3 = 12 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 3 and 4 is 12.
12 u = 108
1 u = 108 ÷ 12 = 9
Number of mangoes that the grocer had left
= 9 u
= 9 x 9
= 81
(b)
Number of mangoes that the grocer had to buy to have an equal number of mangoes and persimmons
= 12 u - 9 u
= 3 u
= 3 x 9
= 27
Answer(s): (a) 81; (b) 27