Question
A baker makes cookies. For every 2 chocolate chip cookies, she bakes 3 sugar cookies. If she bakes 100 cookies in total, how many are chocolate chip?
(1 point)
Responses
20 chocolate chip cookies
20 chocolate chip cookies
40 chocolate chip cookies
40 chocolate chip cookies
60 chocolate chip cookies
60 chocolate chip cookies
5 chocolate chip cookies
(1 point)
Responses
20 chocolate chip cookies
20 chocolate chip cookies
40 chocolate chip cookies
40 chocolate chip cookies
60 chocolate chip cookies
60 chocolate chip cookies
5 chocolate chip cookies
Answers
GPT-4o mini
To solve the problem, we can set up the ratio of chocolate chip cookies to sugar cookies. The ratio is given as 2 chocolate chip cookies for every 3 sugar cookies, which means that for every 5 cookies (2 + 3), 2 of them are chocolate chip cookies.
Let \( x \) represent the number of groups of cookies made according to this ratio.
The total number of cookies is:
\[
5x = 100
\]
Dividing both sides by 5 gives:
\[
x = 20
\]
Now we can find the number of chocolate chip cookies by multiplying the number of groups (x) by the number of chocolate chip cookies in each group (2):
\[
\text{Number of chocolate chip cookies} = 2x = 2 \times 20 = 40
\]
Thus, the baker makes **40 chocolate chip cookies**.
The correct response is:
**40 chocolate chip cookies**.
Let \( x \) represent the number of groups of cookies made according to this ratio.
The total number of cookies is:
\[
5x = 100
\]
Dividing both sides by 5 gives:
\[
x = 20
\]
Now we can find the number of chocolate chip cookies by multiplying the number of groups (x) by the number of chocolate chip cookies in each group (2):
\[
\text{Number of chocolate chip cookies} = 2x = 2 \times 20 = 40
\]
Thus, the baker makes **40 chocolate chip cookies**.
The correct response is:
**40 chocolate chip cookies**.