Mr Ahmad sold some pomegranates, pears and mangosteens. The ratio of the number of pomegranates sold to the total number of fruits sold was 3 : 10. The ratio of the number of pears sold to the number of mangosteens sold was 4 : 31. He sold 112 more mangosteens than pomegranates. Find the total number of fruits that he sold.
| Pomegranates |
Pears |
Mangosteens |
Total |
| 3x5 |
7x5 |
10x5 |
| |
4 |
31 |
|
| 15 u |
4 u |
31 u |
50 u |
The total number of pears and mangosteens is repeated. Make the total number of pears and mangosteens the same. LCM of 7 and 35 is 35.
Number of more mangosteens than pomegranates
= 31 u - 15 u
= 16 u
16 u = 112
1 u = 112 ÷ 16 = 7
Total number of fruits that Mr Ahmad sold
= 50 u
= 50 x 7
= 350
Answer(s): 350
