Mr Julian sold some pomegranates, persimmons and chikoos. The ratio of the number of pomegranates sold to the total number of fruits sold was 2 : 9. The ratio of the number of persimmons sold to the number of chikoos sold was 1 : 27. He sold 38 more chikoos than pomegranates. Find the total number of fruits that he sold.
Pomegranates |
Persimmons |
Chikoos |
Total |
2x4 |
7x4 |
9x4 |
|
1 |
27 |
|
8 u |
1 u |
27 u |
36 u |
The total number of persimmons and chikoos is repeated. Make the total number of persimmons and chikoos the same. LCM of 7 and 28 is 28.
Number of more chikoos than pomegranates
= 27 u - 8 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Total number of fruits that Mr Julian sold
= 36 u
= 36 x 2
= 72
Answer(s): 72