Let's break down the problem step-by-step to determine if Briana has enough oats for her granola recipe and how much she will have left over or need.
1. Initial Quantity of Oats:
Briana starts with [tex]\(4 \frac{1}{2}\)[/tex] cups of oats. Converting this to a decimal, we get:
[tex]\[
4 \frac{1}{2} = 4.5 \text{ cups}
\][/tex]
2. Oats Used for Oatmeal-Raisin Cookies:
She uses [tex]\(2 \frac{1}{4}\)[/tex] cups of oats. Converting this to a decimal, we get:
[tex]\[
2 \frac{1}{4} = 2.25 \text{ cups}
\][/tex]
3. Oats After Making Cookies:
Subtract the oats used for the cookies from the initial quantity:
[tex]\[
4.5 - 2.25 = 2.25 \text{ cups}
\][/tex]
4. Oats Borrowed from Neighbor:
Briana borrows 1 cup of oats from her neighbor, so:
[tex]\[
2.25 + 1 = 3.25 \text{ cups}
\][/tex]
5. Oats Needed for Granola Recipe:
Her granola recipe calls for [tex]\(2 \frac{1}{2}\)[/tex] cups of oats. Converting this to a decimal:
[tex]\[
2 \frac{1}{2} = 2.5 \text{ cups}
\][/tex]
6. Check if Briana has Enough Oats:
Compare the oats she has (3.25 cups) with the oats needed (2.5 cups):
[tex]\[
3.25 \geq 2.5
\][/tex]
Since 3.25 is greater than 2.5, Briana has enough oats for the granola.
7. Determine Leftover Oats:
Calculate how much oats she will have left after making the granola:
[tex]\[
3.25 - 2.5 = 0.75 \text{ cups}
\][/tex]
Therefore, Briana has enough oats for her granola recipe and will have [tex]\( \frac{3}{4} \)[/tex] cup left over.
The correct answer is:
(C) Yes, she has [tex]\( \frac{3}{4} \)[/tex] cup left.
