Mr Asher 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 6 : 29. He sold 38 more pears than persimmons. Find the total number of fruits that he sold.
| Persimmons |
Passion Fruits |
Pears |
Total |
| 2x5 |
7x5 |
9x5 |
| |
6 |
29 |
|
| 10 u |
6 u |
29 u |
45 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 35 is 35.
Number of more pears than persimmons
= 29 u - 10 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Total number of fruits that Mr Asher sold
= 45 u
= 45 x 2
= 90
Answer(s): 90
