Question

a cookie recipe is provided.

chocolate chip cookie recipe:
1 cup of flour
100 chocolate chips
1 cup sugar
1/2 cup milk
yields 10 cookies

you and your sister want to bake chocolate chip cookies. you go to the store and buy 5 cups of flour, three bags of chips (each containing 100 chocolate chips), 6 cups of sugar, and 10 cups of milk. you want to make as many cookies as possible. what is your limiting reactant, the ingredient that would run out first?

○ sugar
○ chocolate chips
○ flour
○ milk

Explanation:

Step1: Calculate cookies from flour

Number of cookies from flour: \( \frac{5\ \text{cups of flour}}{1\ \text{cup of flour per 10 cookies}} \times10 = 50\ \text{cookies}\)

Step2: Calculate cookies from chocolate chips

Number of chocolate chips \(=3\times100 = 300\). Number of cookies from chips: \(\frac{300\ \text{chocolate chips}}{100\ \text{chocolate chips per 10 cookies}}\times10=30\ \text{cookies}\)

Step3: Calculate cookies from sugar

Number of cookies from sugar: \(\frac{6\ \text{cups of sugar}}{1\ \text{cup of sugar per 10 cookies}}\times10 = 60\ \text{cookies}\)

Step4: Calculate cookies from milk

Number of cookies from milk: \(\frac{10\ \text{cups of milk}}{\frac{1}{2}\ \text{cup of milk per 10 cookies}}\times10=200\ \text{cookies}\)

Answer:

chocolate chips