Determine the number of cookies and the number of muffins baked each day.

Question

A baker makes 160 baked goods per day. These are a combination of muffins and cookies. Four times the number of muffins baked equals 30 less than the number of cookies baked. Determine the number of cookies and the number of muffins baked each day.

if c is the number of cookies, an equation that models the problem is:

__ *(160-__)=c-__

the number of cookies baked each day=

the number of muffins each day=

Answer 1

4M = C-30

M = C/4 - 30/4

M+C = 160

C/4-30/4 + C= 160

5C-30 = 4(160) = 640

5C = 670 baked each day

C = 134 cookies

M=160-134 = 26 muffins

C= [4(160)+30]/5 = (4/5)[160+6)

the model you seem to want is

(4/5)(160 - (-15/2)) = c

Answer 2

4m=(c-30)

4m+(c-30)=160

4m=80

m=20

(c-30)=80

c=110