Question

bob has some 10 lb weights and some 3 lb weights. together, all his weights add up to 50 lb. if x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight bob has?
○ 3x - 10y = 50
○ 3x = 50 - 10y
○ 50 + 10y = 3y
○ 50 + 3y = 10y

Explanation:

Step1: Analyze weight contributions

The total weight from 3 lb weights is \(3x\) (since each of the \(x\) weights is 3 lb), and from 10 lb weights is \(10y\) (each of the \(y\) weights is 10 lb). The total weight is 50 lb, so the sum of these two should equal 50: \(3x + 10y = 50\).

Step2: Rearrange the equation

Subtract \(10y\) from both sides of \(3x + 10y = 50\) to get \(3x = 50 - 10y\).

Answer:

B. \(3x = 50 - 10y\)