Mr Zeph sold some persimmons, passion fruits and pears. The ratio of the number of persimmons sold to the total number of fruits sold was 2 : 9. The ratio of the number of passion fruits sold to the number of pears sold was 5 : 23. He sold 135 more pears than persimmons. Find the total number of fruits that he sold.
| Persimmons |
Passion Fruits |
Pears |
Total |
| 2x4 |
7x4 |
9x4 |
| |
5 |
23 |
|
| 8 u |
5 u |
23 u |
36 u |
The total number of passion fruits and pears is repeated. Make the total number of passion fruits and pears the same. LCM of 7 and 28 is 28.
Number of more pears than persimmons
= 23 u - 8 u
= 15 u
15 u = 135
1 u = 135 ÷ 15 = 9
Total number of fruits that Mr Zeph sold
= 36 u
= 36 x 9
= 324
Answer(s): 324
