Question

A recipe uses 1/2 cup of flour for every 1/4 cup of sugar. Which of the following is a true statement? Circle all that apply.

a) The recipe uses twice as much flour as sugar.
b) The recipe uses twice as much sugar as flour.
c) The recipe uses the same amount of flour and sugar.
d) The recipe uses four times as much flour as sugar.

Answer 1

The recipe uses twice as much flour as sugar, and in proportion, the amounts of flour and sugar used are equivalent, maintaining the ratio.

Step-by-step explanation:

If a recipe uses 1/2 cup of flour for every 1/4 cup of sugar, then for each part sugar, there are two parts flour. This is because 1/2 cup is double the amount of 1/4 cup. Therefore, the correct statements about the recipe are:

• The recipe uses twice as much flour as sugar.
• The recipe uses the same amount of flour and sugar, when considering the ratio of their quantities (sugar and flour are used in proportionate amounts).

It is incorrect that the recipe uses twice as much sugar as flour or four times as much flour as sugar.