Question

12) Ms. Baker made chocolate chip cookies and gingerbread cookies to give to her coworkers for theholidays. She baked 6 batches total, and each batch had 12 cookies. There were one third as manygingerbread cookies as chocolate chip cookies. How many of each cookie did she bake?

Answer 1

It is given that Ms. Baker baked 6 batches total, and each batch had 12 cookies.

The total number of cookies=6 time 12

`=6*12`

`=72`

The total number of cookies is 72.

Let x be the number of gingerbread cookies.

The given that ne third as many gingerbread cookies as chocolate chip cookies.

The number of chocolate chip cookies =1/3 of x

`=(1)/(3)x`

The total number of cookies=the number of gingerbread cookies+the number of chocolate chip cookies.

Substitute values, we get

`72=x+(1)/(3)x`

`72=x(1+(1)/(3))`

`72=x((1*3)/(3)+(1)/(3))`

`72=x((3)/(3)+(1)/(3))`

`72=x((3+1)/(3))`

`72=x((4)/(3))`

Transferring 4/3 to the left-hand side, we get

`72*(3)/(4)=x`

`18*3=x`

`x=54`

Hence the number of gingerbread cookies =54 cookies.

The number of chocolate chip cookies =1/3 of x

`=(1)/(3)*54=18`

The number of chocolate chip cookies = 18 cookies.