Question
Bella is baking chocolate chip cookies for an event. It takes 3/5 of a cup of flour to bake 6 cookies. She uses 1 1/10 cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies.
If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?
A. 40 cookies
B. 90 cookies
C. 66 cookies
D. 32 cookies
If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?
A. 40 cookies
B. 90 cookies
C. 66 cookies
D. 32 cookies
Answers
GPT 3.5
Bella uses 3/5 of a cup of flour for 6 cookies. We can find the equivalent fraction by dividing 6 by 3/5 which is 10/3 = <<6/(3/5)=10/3>>10/3 cups of flour for 6 cookies.
To find out how many cups of flour is needed for 1 cookie, we divide 10/3 by 6, which is 10/18 = 5/9 cups of flour for 1 cookie.
Bella uses 1 1/10 cups of flour for every 50 chocolate chips. We can find the equivalent fraction by dividing 50 by 1 1/10.
Converting 1 1/10 to an improper fraction, we get 11/10.
Dividing 50 by 11/10, we get 50 * 10/11 = 500/11 chocolate chips for 1 cup of flour.
For 1 cup of flour, Bella uses 500/11 chocolate chips, and she uses 150 chocolate chips for each tray.
Dividing 150 by 500/11 (which is multiplying by the reciprocal), we get 150 * 11/500 = 3.3 cups of flour for each tray.
For 2 trays, Bella will use 3.3 cups * 2 = 6.6 cups of flour.
Since 5/9 cups of flour is needed for 1 cookie, Bella will make 6.6 / 5/9 = 6.6 * 9/5 = 11.88 trays of cookies.
Since she can't bake a fraction of a tray, Bella will bake 11 trays of cookies.
Since there are 6 cookies in a tray, Bella will bake 11 * 6 = <<11*6=66>>66 cookies in total.
Therefore, the answer is C. 66 cookies.
To find out how many cups of flour is needed for 1 cookie, we divide 10/3 by 6, which is 10/18 = 5/9 cups of flour for 1 cookie.
Bella uses 1 1/10 cups of flour for every 50 chocolate chips. We can find the equivalent fraction by dividing 50 by 1 1/10.
Converting 1 1/10 to an improper fraction, we get 11/10.
Dividing 50 by 11/10, we get 50 * 10/11 = 500/11 chocolate chips for 1 cup of flour.
For 1 cup of flour, Bella uses 500/11 chocolate chips, and she uses 150 chocolate chips for each tray.
Dividing 150 by 500/11 (which is multiplying by the reciprocal), we get 150 * 11/500 = 3.3 cups of flour for each tray.
For 2 trays, Bella will use 3.3 cups * 2 = 6.6 cups of flour.
Since 5/9 cups of flour is needed for 1 cookie, Bella will make 6.6 / 5/9 = 6.6 * 9/5 = 11.88 trays of cookies.
Since she can't bake a fraction of a tray, Bella will bake 11 trays of cookies.
Since there are 6 cookies in a tray, Bella will bake 11 * 6 = <<11*6=66>>66 cookies in total.
Therefore, the answer is C. 66 cookies.