Mr Riordan sold some pomegranates, pears and oranges. The ratio of the number of pomegranates sold to the total number of fruits sold was 3 : 8. The ratio of the number of pears sold to the number of oranges sold was 1 : 24. He sold 18 more oranges than pomegranates. Find the total number of fruits that he sold.
| Pomegranates |
Pears |
Oranges |
Total |
| 3x5 |
5x5 |
8x5 |
| |
1 |
24 |
|
| 15 u |
1 u |
24 u |
40 u |
The total number of pears and oranges is repeated. Make the total number of pears and oranges the same. LCM of 5 and 25 is 25.
Number of more oranges than pomegranates
= 24 u - 15 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Total number of fruits that Mr Riordan sold
= 40 u
= 40 x 2
= 80
Answer(s): 80
