Answer:
Option B. 66 cookies
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
![(150)/(1)=(x)/(2)\\\\x=150(2)\\\\x=300\ chocolate\ chips](https://img.qammunity.org/2019/formulas/mathematics/middle-school/qt9mvgl5hmae3tp2z1cdjztieuufvdd29q.png)
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
![1(1)/(10)\ cups=(1*10+1)/(10)=(11)/(10)\ cups](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fndvm1qginpngfigiou6l15yppvifio5i4.png)
![(((11)/(10)))/(50)=(x)/(300)\\\\x=(66)/(10)\ cups](https://img.qammunity.org/2019/formulas/mathematics/middle-school/v9fjmmgc545cfnnavlihk2uknh810s1hhm.png)
Simplify
![(66)/(10)\ cups=(33)/(5)\ cups](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3uixgxzein9orzr5zr7utiuxkq7nuby3su.png)
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
![(6)/((3/5))=(x)/((33/5))\\\\x=6(33)/3\\\\x=66\ cookies](https://img.qammunity.org/2019/formulas/mathematics/middle-school/crrb871ads7gibibuuzd8x12opb1xbv7i3.png)