Get premium membership and access questions with answers, video lessons as well as revision papers.

A certain poultry farm keeps hens, ducks and turkeys. The ratio of hens to ducks is 5 : 2. The number of turkeys is 35 less than the number of hens. If there are 30 ducks, how many turkeys are there?

Class: KCPE

Subject: Mathematics

Topic: Ratio and proportions

Lesson Summary

A certain poultry farm keeps hens, ducks and turkeys. The ratio of hens to ducks is 5 : 2. The number of turkeys is 35 less than the number of hens. If there are 30 ducks, how many turkeys are there?

A.40
B.75
C.65
D.105



Text Answer


The ratio hens : ducks = 5 : 2

Total number of shares = 5 + 2 = 7

This means that 57 shares are hens and 27 shares are ducks

Let total number of hens and ducks be x

Number of ducks are 27 of x =30

X = 30×72=105

Hence, number of hens = 105×57=75

Number of turkeys= 75 – 35 = 40

The correct answer is A (40).

More Video Lessons


View all video lessons  
Kenyaplex Learning