Mr Jack sold some passion fruits, mangosteens and oranges. The ratio of the number of passion fruits sold to the total number of fruits sold was 3 : 10. The ratio of the number of mangosteens sold to the number of oranges sold was 1 : 34. He sold 209 more oranges than passion fruits. Find the total number of fruits that he sold.
| Passion Fruits |
Mangosteens |
Oranges |
Total |
| 3x5 |
7x5 |
10x5 |
| |
1 |
34 |
|
| 15 u |
1 u |
34 u |
50 u |
The total number of mangosteens and oranges is repeated. Make the total number of mangosteens and oranges the same. LCM of 7 and 35 is 35.
Number of more oranges than passion fruits
= 34 u - 15 u
= 19 u
19 u = 209
1 u = 209 ÷ 19 = 11
Total number of fruits that Mr Jack sold
= 50 u
= 50 x 11
= 550
Answer(s): 550
