Mr Riordan sold some chikoos, pears and mangosteens. The ratio of the number of chikoos sold to the total number of fruits sold was 3 : 8. The ratio of the number of pears sold to the number of mangosteens sold was 2 : 23. He sold 24 more mangosteens than chikoos. Find the total number of fruits that he sold.
| Chikoos |
Pears |
Mangosteens |
Total |
| 3x5 |
5x5 |
8x5 |
| |
2 |
23 |
|
| 15 u |
2 u |
23 u |
40 u |
The total number of pears and mangosteens is repeated. Make the total number of pears and mangosteens the same. LCM of 5 and 25 is 25.
Number of more mangosteens than chikoos
= 23 u - 15 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Total number of fruits that Mr Riordan sold
= 40 u
= 40 x 3
= 120
Answer(s): 120
