Question

fleur is making 8 identical thank you cards for her teachers. each card requires 2.5 sheets of yellow paper and some red paper. she uses a toatl of 30 sheets of paper.

Part A - write an equation that can be used to determine the number of red sheets required for each card


Part B - determine the number of sheets of red paper required for each card.

Answer 1

To solve the problem, we can break it down into parts as you've outlined.

**Part A: Write an equation to determine the number of red sheets required for each card.**

Let:
- \( r \) = the number of sheets of red paper required for each card.
- Since Fleur is making 8 identical cards, the total number of red sheets used for all cards will be \( 8r \).

According to the problem, the total paper used is 30 sheets, and she uses 2.5 sheets of yellow paper for each card. Therefore, the total sheets of yellow paper used for 8 cards is:

\[ 8 \times 2.5 = 20 \text{ sheets of yellow paper} \]

Now, we can express the total sheets of paper used as:
\[
\text{Total sheets} = \text{Sheets of yellow paper} + \text{Sheets of red paper}
\]

Substituting the known values:

\[
30 = 20 + 8r
\]

This equation can be used to determine the number of red sheets required for each card.

**Part B: Determine the number of sheets of red paper required for each card.**

Now, we can solve the equation from Part A:

1. Start with:
\[
30 = 20 + 8r
\]

2. Subtract 20 from both sides:
\[
30 - 20 = 8r
\]
\[
10 = 8r
\]

3. Divide both sides by 8:
\[
r = \frac{10}{8}
\]
\[
r = 1.25
\]

Therefore, the number of sheets of red paper required for each card is **1.25 sheets**.