Mr Rael sold some persimmons, lemons and mangosteens. The ratio of the number of persimmons sold to the total number of fruits sold was 2 : 9. The ratio of the number of lemons sold to the number of mangosteens sold was 1 : 27. He sold 133 more mangosteens than persimmons. Find the total number of fruits that he sold.
| Persimmons |
Lemons |
Mangosteens |
Total |
| 2x4 |
7x4 |
9x4 |
| |
1 |
27 |
|
| 8 u |
1 u |
27 u |
36 u |
The total number of lemons and mangosteens is repeated. Make the total number of lemons and mangosteens the same. LCM of 7 and 28 is 28.
Number of more mangosteens than persimmons
= 27 u - 8 u
= 19 u
19 u = 133
1 u = 133 ÷ 19 = 7
Total number of fruits that Mr Rael sold
= 36 u
= 36 x 7
= 252
Answer(s): 252
