Question

Joaquin wants to make his famous chocolate chip cookies to bring to his friend’s birthday party. The original recipe serves 8 people and requires one half of a cup of butter, but he needs it to serve 28 people. How many cups of butter will he need?

1. thienan
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.

### What are ratio and proportion?

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.