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

$=6\times12$

$=72$

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

$=\frac{1}{3}x$

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

Substitute values, we get

$72=x+\frac{1}{3}x$

$72=x(1+\frac{1}{3})$

$72=x(\frac{1\times3}{3}+\frac{1}{3})$

$72=x(\frac{3}{3}+\frac{1}{3})$

$72=x(\frac{3+1}{3})$

$72=x(\frac{4}{3})$

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

$72\times\frac{3}{4}=x$

$18\times3=x$

$x=54$

Hence the number of gingerbread cookies =54 cookies.

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

$=\frac{1}{3}\times54=18$

The number of chocolate chip cookies = 18 cookies.