Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

A recipe requires 2/3 cup of sugar. If you want to make four times the recipe, how much sugar do you need?

1. 1 cup

2. 4 cups

3. 2 2/3 cups

4. 2 cups

The correct answer is: 2 2/3 cups

To determine the amount of sugar needed when quadrupling the recipe, you start by multiplying the original amount of sugar required (2/3 cup) by 4. First, express this multiplication as follows: \[ \text{Sugar needed} = \frac{2}{3} \text{ cup} \times 4 \] This can also be represented as: \[ \text{Sugar needed} = 4 \times \frac{2}{3} = \frac{4 \times 2}{3} = \frac{8}{3} \] The fraction \(\frac{8}{3}\) can be converted into a mixed number. Dividing 8 by 3 gives 2 as the whole number part, with a remainder of 2. Thus, it can be expressed as: \[ \frac{8}{3} = 2 \frac{2}{3} \] So, to properly scale the original recipe by a factor of four, you would need 2 and 2/3 cups of sugar. This makes the third option the correct answer, as it accurately represents the total quantity needed for the scaled-up recipe.