28 people Joaquin requires 5.25 cups of butter.
Given that, the original recipe of chocolate chip cookies serves 8 people and requires one half of a cup of butter, but he needs it to serve 28 people.
A comparison of two quantities by division is called a ratio and the equality of two ratios is called proportion. A ratio can be written in different forms like x : y or x/y and is commonly read as, x is to y.
On the other hand, proportion is an equation that says that two ratios are equivalent. A proportion is written as x : y : : z : w, and is read as x is to y as z is to w. Here, x/y = z/w where w & y are not equal to 0.
Let the quantity of butter required for new recipe be x.
Now, 8:1.5::28:x
Product of extremes=8×x=8x
Product of means=28×1.5=42
Product of extremes=Product of means
⇒8x=42
⇒x=5.25
Therefore, to serve 28 people Joaquin requires 5.25 cups of butter.
To learn more about the ratio and proportion visit:
https://brainly.com/question/26974513.
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