Question

Mrs. Yang bought 5 chickens and 3 ducks for $81. A chicken cost $5 more than a duck.

(a) What was the cost of each duck?
(b) What was the cost of each chicken?

Answer 1

The cost of each duck is $ 7 and cost of each chicken is $ 12.

Explanation:

Given,

5 chickens and 3 ducks are bought by $ 81

A chicken costs $ 5 more than a duck.

To find the cost of each duck and cost of each chicken.

Let,

The cost of each duck = x

The cost of each chicken = x+5

According to the problem,

5(x+5)+3x = 81

or, 5x+25+3x = 81

or, 8x = 81-25

or, 8x = 56

or, x = 7

Hence,

The cost of each duck = $ 7

The cost of each chicken = $ 7+5 = $ 12