To solve this problem, follow these steps:
1. Understand the given ratio: The ratio of flour to sugar is given as 2:1. This means for every 2 parts of flour, there is 1 part of sugar.
2. Identify the given quantity of flour: We are told that 4 cups of flour are used.
3. Set up the ratio relationship: Since the ratio of flour to sugar is 2:1, we know:
[tex]\[
\text{flour} = 2 \times \text{sugar}
\][/tex]
4. Substitute the known quantity into the ratio: We know the quantity of flour is 4 cups, so:
[tex]\[
4 = 2 \times \text{sugar}
\][/tex]
5. Solve for the number of cups of sugar: To find the number of cups of sugar, divide both sides of the equation by 2:
[tex]\[
\text{sugar} = \frac{4}{2}
\][/tex]
[tex]\[
\text{sugar} = 2
\][/tex]
So, 2 cups of sugar are needed when 4 cups of flour are used.
