Answer:
Option B. 66 cookies
Step-by-step explanation:
The complete question is
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?
step 1
we know that
There are a total of 150 chocolate chips for each tray of cookies
Find out the number of chocolate chips if Bella is baking 2 trays
so
using proportion
Let
x ----> the number of chocolate chips
[tex]\frac{150}{1}=\frac{x}{2}\\\\x=150(2)\\\\x=300\ chocolate\ chips[/tex]
step 2
we know that
She uses 1 1/10 cups of flour for every 50 chocolate chips used.
Find out the number of cups of flour for 300 chocolate chips
so
using proportion
Let
x ----> the number of cups of flour
Convert mixed number to an improper fraction
[tex]1\frac{1}{10}\ cups=\frac{1*10+1}{10}=\frac{11}{10}\ cups[/tex]
[tex]\frac{(\frac{11}{10})}{50}=\frac{x}{300}\\\\x=\frac{66}{10}\ cups[/tex]
Simplify
[tex]\frac{66}{10}\ cups=\frac{33}{5}\ cups[/tex]
step 3
we know that
It takes 3/5 of a cup of flour to bake 6 cookies
Find out the number of cookies she bake for 33/5 cups of flour
so
using proportion
Let
x -----> the number of cookies
[tex]\frac{6}{(3/5)}=\frac{x}{(33/5)}\\\\x=6(33)/3\\\\x=66\ cookies[/tex]
