Eight hours ago, a grocer started his day with some apples and kiwis in the ratio of 8 : 7. There were 210 kiwis. Some of the apples were bought by Hazel. As a result, the number of apples became
45 of the kiwis.
- How many apples did the grocer have left?
- How many apples did the grocer have to buy in order to have an equal number of apples and kiwis?
|
Apples |
Kiwis |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
4x7 = 28 u |
5x7 = 35 u |
(a)
The number of kiwis remains unchanged. Make the number of kiwis the same. LCM of 7 and 5 is 35.
35 u = 210
1 u = 210 ÷ 35 = 6
Number of apples that the grocer had left
= 28 u
= 28 x 6
= 168
(b)
Number of apples that the grocer had to buy to have an equal number of apples and kiwis
= 35 u - 28 u
= 7 u
= 7 x 6
= 42
Answer(s): (a) 168; (b) 42