Mr Brandon sold some oranges, mangoes and pears. The ratio of the number of oranges sold to the total number of fruits sold was 4 : 9. The ratio of the number of mangoes sold to the number of pears sold was 1 : 19. He sold 21 more pears than oranges. Find the total number of fruits that he sold.
| Oranges |
Mangoes |
Pears |
Total |
| 4x4 |
5x4 |
9x4 |
| |
1 |
19 |
|
| 16 u |
1 u |
19 u |
36 u |
The total number of mangoes and pears is repeated. Make the total number of mangoes and pears the same. LCM of 5 and 20 is 20.
Number of more pears than oranges
= 19 u - 16 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Total number of fruits that Mr Brandon sold
= 36 u
= 36 x 7
= 252
Answer(s): 252
