Mr Nick sold some pears, pomegranates and kiwis. The ratio of the number of pears sold to the total number of fruits sold was 4 : 9. The ratio of the number of pomegranates sold to the number of kiwis sold was 3 : 22. He sold 10 more kiwis than pears. Find the total number of fruits that he sold.
Pears |
Pomegranates |
Kiwis |
Total |
4x5 |
5x5 |
9x5 |
|
3 |
22 |
|
20 u |
3 u |
22 u |
45 u |
The total number of pomegranates and kiwis is repeated. Make the total number of pomegranates and kiwis the same. LCM of 5 and 25 is 25.
Number of more kiwis than pears
= 22 u - 20 u
= 2 u
2 u = 10
1 u = 10 ÷ 2 = 5
Total number of fruits that Mr Nick sold
= 45 u
= 45 x 5
= 225
Answer(s): 225