To determine how much powdered sugar is required to make enough cookies for the class, follow these steps:
1. Calculate the total number of cookies needed:
- There are 30 students.
- Each student gets 2 cookies.
- So, the total number of cookies needed is:
[tex]\[
30 \, \text{students} \times 2 \, \text{cookies/student} = 60 \, \text{cookies}
\][/tex]
2. Determine the number of cookies one recipe makes:
- The recipe makes 3 dozen cookies.
- Since 1 dozen is 12 cookies, 3 dozen is:
[tex]\[
3 \times 12 = 36 \, \text{cookies}
\][/tex]
3. Calculate the number of recipes needed:
- Total cookies needed is 60.
- Cookies produced by one recipe is 36.
- The number of recipes needed is:
[tex]\[
\frac{60 \, \text{cookies}}{36 \, \text{cookies/recipe}} \approx 1.6667 \, \text{recipes}
\][/tex]
4. Determine the amount of powdered sugar needed per recipe:
- Each recipe requires 2.5 cups of powdered sugar.
5. Calculate the total amount of powdered sugar needed:
- To make [tex]\( \approx 1.6667 \)[/tex] recipes, the total amount of powdered sugar needed is:
[tex]\[
1.6667 \, \text{recipes} \times 2.5 \, \text{cups/recipe} \approx 4.1667 \, \text{cups}
\][/tex]
Therefore, you will need approximately 4.167 cups of powdered sugar to make enough cookies for the class.
