2 Answers

SirDemon · Answer 1 · 2018-09-27T11:31:16+0000

Answer: There are 2 dozens of peanut butter cookies, 4 dozens of sugar cookies and 5 dozens of chocolate chip cookies.

Explanation:

Since we have given that

Susan made chocolate chip cookies, peanut butter cookies and sugar cookies to sell at the bake sale.

Let number of chocolate chip cookies be c

Let the number of peanut butter cookies be p

Let the number of sugar cookies be s

Total number of cookies = 11 dozen

Our equation will be

c+p+s=11

According to question, we have that she made twice as many sugar cookies as peanut butter cookies,

So,

s=2p

And she one dozen more of chocolate chip cookies than sugar cookies,

$c=s+1\\\\c=2p+1$

So, we have

$c+s+p=11\\\\2p+1+p+2p=11\\\\5p+1=11\\\\5p=11-1\\\\5p=10\\\\p=(10)/(5)\\\\p=2$

So,

$s=2p=2* 2=4\\\\and\\\\c=2p+1=2* 2+1=4+1=5$

So, there are 2 dozens of peanut butter cookies, 4 dozens of sugar cookies and 5 dozens of chocolate chip cookies.

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