Mr Daniel sold some mangosteens, pears and mangoes. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 10. The ratio of the number of pears sold to the number of mangoes sold was 5 : 9. He sold 30 more mangoes than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Pears |
Mangoes |
Total |
| 3x2 |
7x2 |
10x2 |
| |
5 |
9 |
|
| 6 u |
5 u |
9 u |
20 u |
The total number of pears and mangoes is repeated. Make the total number of pears and mangoes the same. LCM of 7 and 14 is 14.
Number of more mangoes than mangosteens
= 9 u - 6 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of fruits that Mr Daniel sold
= 20 u
= 20 x 10
= 200
Answer(s): 200
