Mr. Nguyen bout a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes brought a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. How much did each chicken leg and each chicken wing weigh?

Complete Question

Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. Ms. Dawes bought 42 ounces of chicken. How much did each chicken leg and each chicken wing weigh?

Weight of Chicken leg = x = 8 ounces

Weight of Chicken wing = y = 3 ounces

Step-by-step explanation:

Let us represent

Weight of Chicken leg = x

Weight of Chicken wing = y

Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings.Mr. Nguyen bought 45 ounces of chicken.

3x + 7y = 45 ounces Equation 1

Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Ms. Dawes bought 42 ounces of chicken.

3x + 6y = 42 ounces... Equation 2

Combining both Equations together we solve by Elimination method

3x + 7y = 45 Equation 1

3x + 6y = 42... Equation 2

We eliminate x by subtracting Equation 2 from Equation 1

Hence:

y = 3 ounces

Solving for x

3x + 6y = 42 ounces... Equation 2

3x +6(3) = 42 ounces

3x + 18 = 42 ounces

3x =( 42 - 18) ounces

3x = 24 ounces

x = 24 ounces/3

x = 8 ounces

Hence:

Weight of Chicken leg = x = 8 ounces

Weight of Chicken wing = y = 3 ounces

bn,mn,n.vn.

step-by-step explanation: