Eight hours ago, a grocer started his day with some pears and passion fruits in the ratio of 8 : 7. There were 350 passion fruits. Some of the pears were bought by Xandra. As a result, the number of pears became
25 of the passion fruits.
- How many pears did the grocer have left?
- How many pears did the grocer have to buy in order to have an equal number of pears and passion fruits?
|
Pears |
Passion Fruits |
Before |
8x5 = 40 u |
7x5 = 35 u |
Change |
- ? |
|
After |
2x7 = 14 u |
5x7 = 35 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 7 and 5 is 35.
35 u = 350
1 u = 350 ÷ 35 = 10
Number of pears that the grocer had left
= 14 u
= 14 x 10
= 140
(b)
Number of pears that the grocer had to buy to have an equal number of pears and passion fruits
= 35 u - 14 u
= 21 u
= 21 x 10
= 210
Answer(s): (a) 140; (b) 210