Proportions: 13 candy bars weigh 26 oz. What is the weight of 35 candy bars?

Steps to Solve

1. Identify the weight of the known quantity

From the problem, we need to know the weight of 13 candy bars. Let’s assume the weight of 13 candy bars is $W_{13}$ pounds.

2. Set up the proportion

We can set up a proportion to find the weight of 35 candy bars ($W_{35}$). The proportion can be written as:

$$ \frac{W_{13}}{13} = \frac{W_{35}}{35} $$

3. Cross-multiply to solve for $W_{35}$

To find $W_{35}$, we will cross-multiply the equation:

$$ W_{13} \times 35 = W_{35} \times 13 $$

4. Isolate $W_{35}$

Now, divide both sides by 13 to isolate $W_{35}$:

$$ W_{35} = \frac{W_{13} \times 35}{13} $$

5. Substitute the known weight of 13 candy bars

Now, substitute the actual weight of 13 candy bars into the equation to calculate $W_{35}$. For example, if $W_{13}$ is 26 pounds, it would look like this:

$$ W_{35} = \frac{26 \times 35}{13} $$

6. Calculate the final answer

Now perform the calculation:

$$ W_{35} = \frac{910}{13} = 70 $$

The weight of 35 candy bars would therefore be 70 pounds.