A sugar cookie recipe that makes 3 dozen cookies requires 2½ cups of powdered sugar.

If you want to make enough cookies so that each of 30 students in your child's class gets exactly two cookies, how much powdered sugar will you need?



Answer :

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.