## A farmer intends to share 32 goats amongst his sons john, peter and thomas in the ratio 1 : 3 : 4 respectively what fraction of t

Question

A farmer intends to share 32 goats amongst his sons john, peter and thomas in the ratio 1 : 3 : 4 respectively what fraction of the goats will peter get?

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41 mins 2023-01-25T13:52:34+00:00 1 Answer 0 views 0

1. The number of goats Peter will have is 12.

### What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given that a farmer intends to share 32 goats amongst his sons john, peter, and Thomas in the ratio 1 : 3: 4 respectively.
The number of the fractions will be calculated by assuming the common ratio as x. Then write an expression as below:-
x + 3x + 4x = 32
8x = 32
x = 32 / 8
x = 4
Number of goats for Peter = 3x
Number of goats for Peter = 3 x 4 = 12
Therefore, the number of goats Peter will have is 12.
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