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

1 answer

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.