Question

A meat-seller sells x kg of ducks at $8.50 per kg and (2x + 5 ) kg of chicken at $3.60 per kg. If he collects a total of $206.40, find the value of x.

Answer 1

`x = 12`

Explanation:

1) Set up an equation that involves all of the values; the price and kg of each duck and chicken equating to 206.40.

`8.50(x) + 3.60(2x + 5) = 206.40`

`8.50x + 7.2x + 18 = 206.40`

2) Solve it.

`15.7x + 18 = 206.40`

`15.7x = 206.40 - 18`

`15.7x = 188.4`

`x = (188.4)/(15.7)`

`x = 12`