Answer:
Chicken leg (x) = 7 ounce
Chicken wing (y) = 4 ounce
Step-by-step explanation:
Let x represent the weight of Chicken leg
Let y represent the weight of Chicken wing
Mr. Nguyen bought 4 chicken legs and 6 chicken wings which collectively weighed 52 ounces i.e. 4x + 6y = 52
Ms. Dawen bought 3 chicken legs and 6 chicken wings that collectively weighed 45 ounces i.e. 3x + 6y = 45
We have two equations, to get the weight of each variable x and y, we use the elimination method of simultaneous equation to solve.
Eqn 1...... 4x + 6y = 52
Eqn 2..... 3x + 6y = 45
We subtract each variable in eqn (2) from that of eqn (1). i.e.
4x - 3x, 6y - 6y and 52 - 45
We then have; x + 0 = 7
Thus, x = 7
To get y, we substitute x in eqn 2
Since 3x + 6y = 45
3(7) + 6y = 45
21 + 6y = 45
6y = 45 - 21
6y = 24
y = 4
Thus x=7 and y=4. This means that the weight of the chicken leg is 7 ounces and that of the chicken wing is 4 ounces.
