bob has some 10 lb weights and some 3 lb weights. together, all his weights add up to 50 lb. if x represents…

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
Answer
Explanation:
Step1: Calculate the total weight of 3 - lb weights
The total weight of (x) number of 3 - lb weights is (3x) pounds.
Step2: Calculate the total weight of 10 - lb weights
The total weight of (y) number of 10 - lb weights is (10y) pounds.
Step3: Set up the equation for the total weight
Since the sum of the weights is 50 pounds, we have (3x + 10y=50).
Step4: Rearrange the equation
Subtract (10y) from both sides of the equation (3x + 10y = 50) to get (3x=50 - 10y).
Answer:
B. (3x = 50-10y)