You work for a packaging company. The total weight of a container and its contents is 48 pounds. The contents of the container account for  of the total weight.

Which fraction represents the ratio of the weight of the container to the weight of the contents?







Let the weight of the contents be denoted as \( x \) pounds, and the weight of the container as \( y \) pounds. According to the problem, the total weight of the container and its contents is 48 pounds, so we have:

\[
x + y = 48
\]

The contents account for \( \frac{3}{4} \) of the total weight, so:

\[
x = \frac{3}{4} \times 48 = 36 \text{ pounds}.
\]

Now, since \( x + y = 48 \) and \( x = 36 \), we can solve for \( y \):

\[
y = 48 - 36 = 12 \text{ pounds}.
\]

The ratio of the weight of the container to the weight of the contents is:

\[
\frac{y}{x} = \frac{12}{36} = \frac{1}{3}.
\]

Thus, the fraction representing the ratio of the weight of the container to the weight of the contents is \( \frac{1}{3} \).

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What is the ratio of the weight of the contents to the total weight of the container and contents?
2. If the total weight was 60 pounds, and the contents accounted for \( \frac{2}{3} \) of the weight, what would the ratio of the container to the contents be?
3. How would the ratio change if the contents accounted for \( \frac{5}{6} \) of the total weight?
4. What is the weight of the contents if the total weight is 48 pounds and the container weighs \( \frac{1}{4} \) of the total weight?
5. If the container weighs 16 pounds and the total weight is 64 pounds, what fraction represents the weight of the container to the weight of the contents?

**Tip:** When working with ratios, always check the units and ensure that both values being compared refer to the same kind of quantity (e.g., weight, length, etc.).

You work for a packaging company. The total weight of a container and its contents is 48 pounds. The contents of the container account for 3/4 of the total weight. Which fraction represents the ratio of the weight of the container to the weight of the contents?

Learn how to solve a ratio problem involving the weight of a container and its contents. Given that the total weight is 48 pounds and the contents account for 3/4 of the weight, find the fraction representing the ratio of the container to the contents. This step-by-step solution is suitable for students in Grades 6-8.

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