Mr Julian sold some mangosteens, pears and pomegranates. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 10. The ratio of the number of pears sold to the number of pomegranates sold was 1 : 13. He sold 56 more pomegranates than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Pears |
Pomegranates |
Total |
| 3x2 |
7x2 |
10x2 |
| |
1 |
13 |
|
| 6 u |
1 u |
13 u |
20 u |
The total number of pears and pomegranates is repeated. Make the total number of pears and pomegranates the same. LCM of 7 and 14 is 14.
Number of more pomegranates than mangosteens
= 13 u - 6 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of fruits that Mr Julian sold
= 20 u
= 20 x 8
= 160
Answer(s): 160
