Mr Gabriel sold some persimmons, mangosteens and pomegranates. The ratio of the number of persimmons sold to the total number of fruits sold was 2 : 7. The ratio of the number of mangosteens sold to the number of pomegranates sold was 1 : 19. He sold 132 more pomegranates than persimmons. Find the total number of fruits that he sold.
| Persimmons |
Mangosteens |
Pomegranates |
Total |
| 2x4 |
5x4 |
7x4 |
| |
1 |
19 |
|
| 8 u |
1 u |
19 u |
28 u |
The total number of mangosteens and pomegranates is repeated. Make the total number of mangosteens and pomegranates the same. LCM of 5 and 20 is 20.
Number of more pomegranates than persimmons
= 19 u - 8 u
= 11 u
11 u = 132
1 u = 132 ÷ 11 = 12
Total number of fruits that Mr Gabriel sold
= 28 u
= 28 x 12
= 336
Answer(s): 336
