Mr Michael sold some persimmons, starfruits and mangosteens. The ratio of the number of persimmons sold to the total number of fruits sold was 3 : 8. The ratio of the number of starfruits sold to the number of mangosteens sold was 1 : 24. He sold 108 more mangosteens than persimmons. Find the total number of fruits that he sold.
Persimmons |
Starfruits |
Mangosteens |
Total |
3x5 |
5x5 |
8x5 |
|
1 |
24 |
|
15 u |
1 u |
24 u |
40 u |
The total number of starfruits and mangosteens is repeated. Make the total number of starfruits and mangosteens the same. LCM of 5 and 25 is 25.
Number of more mangosteens than persimmons
= 24 u - 15 u
= 9 u
9 u = 108
1 u = 108 ÷ 9 = 12
Total number of fruits that Mr Michael sold
= 40 u
= 40 x 12
= 480
Answer(s): 480