Three hours ago, a fruit seller started his day with some lemons and mangoes in the ratio of 8 : 7. There were 168 mangoes. Some of the lemons were bought by Opal. As a result, the number of lemons became
34 of the mangoes.
- How many lemons did the fruit seller have left?
- How many lemons did the fruit seller have to buy in order to have an equal number of lemons and mangoes?
|
Lemons |
Mangoes |
Before |
8x4 = 32 u |
7x4 = 28 u |
Change |
- ? |
|
After |
3x7 = 21 u |
4x7 = 28 u |
(a)
The number of mangoes remains unchanged. Make the number of mangoes the same. LCM of 7 and 4 is 28.
28 u = 168
1 u = 168 ÷ 28 = 6
Number of lemons that the fruit seller had left
= 21 u
= 21 x 6
= 126
(b)
Number of lemons that the fruit seller had to buy to have an equal number of lemons and mangoes
= 28 u - 21 u
= 7 u
= 7 x 6
= 42
Answer(s): (a) 126; (b) 42