Question

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. 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?

Answer 1

From the given data, we can create the following equation: 3x + 10y = 50.
However, without any other data provided, to find the actual number of weights involved, we can assume the value of one to solve for the other. As it is worded, the 10lb and 3lb weights were worded as plural, so we can expect them to be at least or equal to 2. Let us try this:

Assuming y = 2:

3x + 10(2) = 50
3x + 20 = 50
3x = 30
x = 10

Using that assumption, there are two 10 lb weights and 10 3 lb weights.

Answer 2

Answer:

3x=50-10y  

Step-by-step explanation:

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