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?
Answer:
Weight of Chicken leg = x = 8 ounces
Weight of Chicken wing = y = 3 ounces
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