I handle many paper pieces. 3/8 of them are red.The yellow pieces are greater with 1 piece. If l have 8 white pieces, how many paper pieces have l? 

Let the total number of paper pieces be denoted by \( x \).

- The number of red pieces is given as \( \frac{3}{8} \) of the total, so the number of red pieces is \( \frac{3}{8}x \).
- You are told that the number of yellow pieces is one greater than the number of red pieces. Therefore, the number of yellow pieces is \( \frac{3}{8}x + 1 \).
- You also have 8 white pieces.

The total number of paper pieces is the sum of the red, yellow, and white pieces:
\[
x = \frac{3}{8}x + \left( \frac{3}{8}x + 1 \right) + 8
\]

Now, let's simplify this equation step by step:

\[
x = \frac{3}{8}x + \frac{3}{8}x + 1 + 8
\]
\[
x = \frac{6}{8}x + 9
\]
\[
x = \frac{3}{4}x + 9
\]

Next, subtract \( \frac{3}{4}x \) from both sides to isolate \( x \):

\[
x - \frac{3}{4}x = 9
\]
\[
\frac{1}{4}x = 9
\]

Now, multiply both sides by 4:

\[
x = 36
\]

So, you have 36 paper pieces in total.

### Do you need more details or have any questions?

Here are 5 related questions:
1. How many red pieces do you have if the total is 36?
2. What is the exact number of yellow pieces based on the total?
3. What would happen if the yellow pieces were 2 more than the red pieces?
4. How many red pieces would you have if the fraction was \( \frac{1}{4} \) instead of \( \frac{3}{8} \)?
5. How many paper pieces would you have if there were no white pieces?

**Tip:** Always set up an equation based on the relationships given in the problem for consistent solutions.

I handle many paper pieces. 3/8 of them are red. The yellow pieces are greater with 1 piece. If I have 8 white pieces, how many paper pieces have I?

Solve a problem involving fractions and algebra: You have 3/8 of the paper pieces as red, one more yellow piece than red, and 8 white pieces. Learn step-by-step how to calculate the total number of paper pieces using algebraic equations and fraction concepts. Suitable for Grades 6-8.

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