Answer:
The weight of :
Large plates = x = 25 pounds
Small plates = y = 10 pounds.
Step-by-step explanation:
Jason and Jerry are competing at a weightlifting competition.
Let us represent the weight of
Large plates = x
Small plates = y
They are both lifting barbells containing 200 pounds of plates. Jason's barbell has 4 large and 10 small plates on it.
4x + 10y = 200.... Equation 1
Jerry's barbell has 6 large and 5 small plates on it.
6x + 5y = 200..... Equation 2
Combining Equations
4x + 10y = 200.... Equation 1
6x + 5y = 200..... Equation 2
We solve using Elimination method
Multiply Equation 1 by 6 and Equation 2 by 4 to eliminate x
24x + 60y = 1200..... Equation 3
24x + 20y = 800.... Equation 4
Subtract Equation 4 from Equation 3
40y = 400
y = 400/40
y = 10 pounds
Solving for x using Equation 1
4x + 10y = 200.... Equation 1
4x + 10(10) = 200
4x + 100 = 200
4x = 200-100
4x = 100
x = 100/4
x = 25 pounds
Therefore, the weight of
Large plates = x = 25 pounds
Small plates = y = 10 pounds.
