As part of a pancake recipe, you mix 3/4 cup of milk for every 1 cup of flour to make 7 cups of batter. How much of each ingredient do you use?

1 answer

To find out how much of each ingredient is used, we can set up a ratio based on the milk and flour given.

In the recipe, for every 1 cup of flour used, we mix in 3/4 cup of milk. This means that the ratio of milk to flour is:

  • Milk:Flour = \( \frac{3}{4} : 1 \)

Next, we need to find out how many parts of this ratio we need to reach a total of 7 cups of batter. The total batter consists of both the flour and the milk.

Let \( x \) be the number of cups of flour and \( \frac{3}{4}x \) be the corresponding amount of milk. Therefore, the total amount of batter can be expressed as:

\[ x + \frac{3}{4}x = 7 \]

Combining like terms gives:

\[ \frac{7}{4}x = 7 \]

To solve for \( x \), multiply both sides by \( \frac{4}{7} \):

\[ x = 7 \times \frac{4}{7} = 4 \]

Now that we have \( x = 4 \) cups of flour, we can find the amount of milk:

\[ \text{Milk} = \frac{3}{4} \times 4 = 3 \text{ cups} \]

Thus, the amounts of each ingredient to make 7 cups of batter are:

  • Flour: 4 cups
  • Milk: 3 cups

So you would use 4 cups of flour and 3 cups of milk.