Mr Cody sold some pomegranates, pears and oranges. The ratio of the number of pomegranates sold to the total number of fruits sold was 2 : 9. The ratio of the number of pears sold to the number of oranges sold was 4 : 17. He sold 22 more oranges than pomegranates. Find the total number of fruits that he sold.
| Pomegranates |
Pears |
Oranges |
Total |
| 2x3 |
7x3 |
9x3 |
| |
4 |
17 |
|
| 6 u |
4 u |
17 u |
27 u |
The total number of pears and oranges is repeated. Make the total number of pears and oranges the same. LCM of 7 and 21 is 21.
Number of more oranges than pomegranates
= 17 u - 6 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Total number of fruits that Mr Cody sold
= 27 u
= 27 x 2
= 54
Answer(s): 54
