Mr Henry sold some starfruits, passion fruits and pears. The ratio of the number of starfruits sold to the total number of fruits sold was 2 : 7. The ratio of the number of passion fruits sold to the number of pears sold was 4 : 21. He sold 22 more pears than starfruits. Find the total number of fruits that he sold.
Starfruits |
Passion Fruits |
Pears |
Total |
2x5 |
5x5 |
7x5 |
|
4 |
21 |
|
10 u |
4 u |
21 u |
35 u |
The total number of passion fruits and pears is repeated. Make the total number of passion fruits and pears the same. LCM of 5 and 25 is 25.
Number of more pears than starfruits
= 21 u - 10 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Total number of fruits that Mr Henry sold
= 35 u
= 35 x 2
= 70
Answer(s): 70