Question

Set up equations and solve.

Machine Trades: Two metal castings weigh a total of 84 lb. One weighs
12 lb more than the other. How much does each one weigh?

Answer 1

To find the weights of metal castings, we can set up a system of equations. The weight of the first casting is 36 lb, and the weight of the second casting is 48 lb.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's say the weight of the first casting is x lb. Then, the weight of the second casting is x + 12 lb. We know that the total weight of both castings is 84 lb. So, we can write the equation: x + (x + 12) = 84

Simplifying the equation, we get 2x + 12 = 84. Subtract 12 from both sides: 2x = 72. Then, divide both sides by 2: x = 36.

Therefore, the weight of the first casting is 36 lb, and the weight of the second casting is 36 + 12 = 48 lb.

Answer 2

One weights 30lbs the other weights 54lbs