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The problem you uploaded states:

- Jeremiah has a bag of lentils.
- He has \( \frac{5}{8} \) of the bag left, and there are 150 grams of lentils remaining.
- We are asked to find how many grams of lentils were in the bag when it was full.

### Step-by-Step Solution:

Let \( x \) be the total weight of the lentils when the bag was full.

Since \( \frac{5}{8} \) of the bag is left and this equals 150 grams, we can set up the equation:

\[
\frac{5}{8} \times x = 150
\]

To solve for \( x \), multiply both sides by the reciprocal of \( \frac{5}{8} \), which is \( \frac{8}{5} \):

\[
x = 150 \times \frac{8}{5}
\]

\[
x = 240
\]

Thus, the total weight of the lentils when the bag was full is **240 grams**.

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Would you like further details or have any questions? Here are some related questions you could explore:

1. If 100 grams of lentils were left, how much of the bag would that be in fractions?
2. What would happen if \( \frac{7}{8} \) of the bag was left and the remaining weight was 280 grams?
3. How can you express the remaining weight as a percentage of the full bag?
4. If Jeremiah eats 90 grams, how much of the bag will be left in terms of fractions?
5. How much would \( \frac{3}{8} \) of the bag weigh if it was full?

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**Tip:** When dealing with fractions of quantities, always think of setting up proportions to find unknown values easily!

Jeremiah has a bag of lentils. He has 5/8 of the bag left, and 150 grams of lentils are still in the bag. How many grams of lentils were in the bag when it was full?

Learn how to solve a real-world math problem involving fractions and proportions. Discover how to find the total weight of lentils in a bag when a fraction of the bag is known along with the remaining weight. Suitable for students in Grades 5-7.

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