Mr Sam sold some mangosteens, pears and kiwis. 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 kiwis sold was 5 : 23. He sold 33 more kiwis than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Pears |
Kiwis |
Total |
| 3x4 |
7x4 |
10x4 |
| |
5 |
23 |
|
| 12 u |
5 u |
23 u |
40 u |
The total number of pears and kiwis is repeated. Make the total number of pears and kiwis the same. LCM of 7 and 28 is 28.
Number of more kiwis than mangosteens
= 23 u - 12 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Total number of fruits that Mr Sam sold
= 40 u
= 40 x 3
= 120
Answer(s): 120
