Mr Asher sold some oranges, pomegranates and mangoes. The ratio of the number of oranges sold to the total number of fruits sold was 3 : 10. The ratio of the number of pomegranates sold to the number of mangoes sold was 3 : 11. He sold 10 more mangoes than oranges. Find the total number of fruits that he sold.
| Oranges |
Pomegranates |
Mangoes |
Total |
| 3x2 |
7x2 |
10x2 |
| |
3 |
11 |
|
| 6 u |
3 u |
11 u |
20 u |
The total number of pomegranates and mangoes is repeated. Make the total number of pomegranates and mangoes the same. LCM of 7 and 14 is 14.
Number of more mangoes than oranges
= 11 u - 6 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Total number of fruits that Mr Asher sold
= 20 u
= 20 x 2
= 40
Answer(s): 40
