Eight hours ago, a grocer started his day with some mangoes and oranges in the ratio of 8 : 7. There were 280 oranges. Some of the mangoes were bought by Joelle. As a result, the number of mangoes became
45 of the oranges.
- 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 oranges?
|
Mangoes |
Oranges |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
4x7 = 28 u |
5x7 = 35 u |
(a)
The number of oranges remains unchanged. Make the number of oranges the same. LCM of 7 and 5 is 35.
35 u = 280
1 u = 280 ÷ 35 = 8
Number of mangoes that the grocer had left
= 28 u
= 28 x 8
= 224
(b)
Number of mangoes that the grocer had to buy to have an equal number of mangoes and oranges
= 35 u - 28 u
= 7 u
= 7 x 8
= 56
Answer(s): (a) 224; (b) 56