Mr Cole sold some mangosteens, persimmons and passion fruits. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 10. The ratio of the number of persimmons sold to the number of passion fruits sold was 3 : 32. He sold 34 more passion fruits than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Persimmons |
Passion Fruits |
Total |
| 3x5 |
7x5 |
10x5 |
| |
3 |
32 |
|
| 15 u |
3 u |
32 u |
50 u |
The total number of persimmons and passion fruits is repeated. Make the total number of persimmons and passion fruits the same. LCM of 7 and 35 is 35.
Number of more passion fruits than mangosteens
= 32 u - 15 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Total number of fruits that Mr Cole sold
= 50 u
= 50 x 2
= 100
Answer(s): 100
