The number of batches that can be made from the given ingredients is required.
She will be only able to make 4 batches of peanut butter cookies.
Ingredients required for one batch of cookies
[tex]\dfrac{3}{4}\ \text{cups of peanut butter}=1\ \text{batch}[/tex]
[tex]1.5\ \text{cups of sugar}=1\ \text{batch}[/tex]
[tex]1\ \text{Egg}=1\ \text{batch}[/tex]
So,
[tex]1\ \text{cup of peanut butter}=\dfrac{4}{3}\ \text{batches}[/tex]
[tex]1\ \text{cup of sugar}=\dfrac{1}{1.5}\ \text{batch}[/tex]
With the given ingredients
[tex]3\ \text{cups of peanut butter}=3\times \dfrac{4}{3}=4\ \text{batches}[/tex]
[tex]9\ \text{cups of sugar}=9\times \dfrac{1}{1.5}=6\ \text{batches}[/tex]
[tex]5\ \text{eggs}=5\ \text{batches}[/tex]
So, she will be only able to make 4 batches of peanut butter cookies.
However, 3 cups of sugar and 1 egg will remain unused.
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