Mr Albert sold some persimmons, mangoes 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 mangoes sold to the number of mangosteens sold was 5 : 16. He sold 20 more mangosteens than persimmons. Find the total number of fruits that he sold.
| Persimmons |
Mangoes |
Mangosteens |
Total |
| 2x3 |
7x3 |
9x3 |
| |
5 |
16 |
|
| 6 u |
5 u |
16 u |
27 u |
The total number of mangoes and mangosteens is repeated. Make the total number of mangoes and mangosteens the same. LCM of 7 and 21 is 21.
Number of more mangosteens than persimmons
= 16 u - 6 u
= 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
Total number of fruits that Mr Albert sold
= 27 u
= 27 x 2
= 54
Answer(s): 54
