Question

A farmer has 32 goats and some cows in his farm. If the number of goats is 4/7 of the number of animals in total then how many cows and how many animals does the farmer have?

Answer 1

Goats: 32

Cows: 24

Animals: 56

Explanation:

Using a proportion, equivalent ratios, you can use the number of goats to find the total number of animals and then the number of cows:

`(goats)/(animals)=(4)/(7)=(32)/(x)`, where 'x' represents the total number of animals

Cross-multiply: 4x = (32)(7) or 4x = 224

Divide: 4x/4 = 224/4 or x = 56

Total number of animals = 56

Number of goats: 32

Number of cows: 56 - 32 = 24