Question

chocolate chip cookie recipe:1 cup of flour100 chocolate chips1 cup sugar1/2 cup milkyields 10 cookiesyou 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?chocolate chipsmilksugarflour

Explanation:

Step1: Calculate cookies from flour

The recipe needs 1 cup of flour for 10 cookies. With 5 cups of flour, the number of cookies is $5 \times 10 = 50$ cookies.

Step2: Calculate cookies from chocolate chips

Each bag has 100 chips, and 3 bags give $3 \times 100 = 300$ chips. The recipe needs 100 chips for 10 cookies, so the number of cookies is $\frac{300}{100} \times 10 = 30$ cookies.

Step3: Calculate cookies from sugar

The recipe needs 1 cup of sugar for 10 cookies. With 6 cups of sugar, the number of cookies is $6 \times 10 = 60$ cookies.

Step4: Calculate cookies from milk

The recipe needs $\frac{1}{2}$ cup of milk for 10 cookies. With 10 cups of milk, the number of cookies is $\frac{10}{\frac{1}{2}} \times 10 = 20 \times 10 = 200$ cookies.

Answer:

The limiting reactant (ingredient that runs out first) is chocolate chips because it allows making the fewest cookies (30 cookies), so the answer is chocolate chips (the option with "chocolate chips").