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?\n3x - 10y = 50\n3x = 50 - 10y\n50 + 10y = 3y\n50 + 3y = 10y

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?\n3x - 10y = 50\n3x = 50 - 10y\n50 + 10y = 3y\n50 + 3y = 10y

Answer

Explanation:

Step1: Calculate total weight of 3 - lb weights

The weight of each 3 - lb weight is 3 lb. If the number of 3 - lb weights is $x$, then the total weight of 3 - lb weights is $3x$ lb.

Step2: Calculate total weight of 10 - lb weights

The weight of each 10 - lb weight is 10 lb. If the number of 10 - lb weights is $y$, then the total weight of 10 - lb weights is $10y$ lb.

Step3: Set up the equation

The sum of the weights of 3 - lb and 10 - lb weights is 50 lb. So, $3x + 10y=50$. Rearranging this equation gives $3x=50 - 10y$.

Answer:

$3x = 50 - 10y$ (the second option)