Mr Ian sold some persimmons, lemons and passion fruits. The ratio of the number of persimmons sold to the total number of fruits sold was 4 : 9. The ratio of the number of lemons sold to the number of passion fruits sold was 3 : 22. He sold 20 more passion fruits than persimmons. Find the total number of fruits that he sold.
| Persimmons |
Lemons |
Passion Fruits |
Total |
| 4x5 |
5x5 |
9x5 |
| |
3 |
22 |
|
| 20 u |
3 u |
22 u |
45 u |
The total number of lemons and passion fruits is repeated. Make the total number of lemons and passion fruits the same. LCM of 5 and 25 is 25.
Number of more passion fruits than persimmons
= 22 u - 20 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total number of fruits that Mr Ian sold
= 45 u
= 45 x 10
= 450
Answer(s): 450
