Mr Jeremy sold some mangosteens, lemons and mangoes. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 8. The ratio of the number of lemons sold to the number of mangoes sold was 2 : 13. He sold 48 more mangoes than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Lemons |
Mangoes |
Total |
| 3x3 |
5x3 |
8x3 |
| |
2 |
13 |
|
| 9 u |
2 u |
13 u |
24 u |
The total number of lemons and mangoes is repeated. Make the total number of lemons and mangoes the same. LCM of 5 and 15 is 15.
Number of more mangoes than mangosteens
= 13 u - 9 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Total number of fruits that Mr Jeremy sold
= 24 u
= 24 x 12
= 288
Answer(s): 288
