Question

A recipe requires 3 cups of flour and 4 cups of sugar to make 60 cookies. Which equation represents this recipe?

Answer 1

To represent the recipe mathematically, we can define variables for the quantities involved. Let:

- \( f \) represent the number of cups of flour,
- \( s \) represent the number of cups of sugar,
- \( c \) represent the number of cookies.

From the information given:

- For 60 cookies, the recipe requires 3 cups of flour and 4 cups of sugar.

We can express this as an equation relating the quantities:

\[
\frac{f}{3} = \frac{s}{4} = \frac{c}{60}
\]

Where:
- \( f = 3 \) (cups of flour),
- \( s = 4 \) (cups of sugar),
- \( c = 60 \) (cookies).

Thus, the equation that combines these ratios can be represented as:

\[
\frac{f}{3} = \frac{s}{4} = \frac{c}{60}
\]

This equation captures the relationship between the amounts of flour, sugar, and the number of cookies made.