Question

Mr. Nguyen bought a package of 4 chicken legs and a package of 6 chicken wings. Ms. Dawen bought a package of 3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 52 ounces of chicken. Ms. Dawen bought 45 ounces of chicken. How much did each chicken leg and each chicken wing weigh?

Answer 1

weight of legs - 7 ounces

weight of wings - 4 ounces

Explanation:

Let the weight of a chicken leg be represented by l

Let the weight of a chicken wing be represented by w

The total weight of Mr. Nguyen's package can be represented by this equation :

4l + 6w = 52

The total weight of Ms. Dawen's package can be represented by this equation :

3l + 6w = 45

To find the weight of the legs and wing, use simultaneous equation

4l + 6w = 52 eqn 1

3l + 6w = 45 eqn 2

Subtract equation 2 from 1

l = 7 ounces

Substitute for l in equation 1

4(7) + 6w = 52

28 + 6w = 52

Solve for w

w = 4 ounces