2 Answers

Azmisov · Answer 1 · 2020-07-10T15:40:40+0000

Answer: The required number of lemon cookies is 65.

Step-by-step explanation: Given that Stephen is baking cookies for his school bake sale. He bakes 200 cookies.

(1)/(2) are chocolate chip cookies ,
(3)/(20) are peanut butter cookies ,
(1)/(10) are sugar cookies and the rest are lemon cookies.

We are to find the number of lemon cookies.

Let n be the required number of lemon cookies.

According to the given information, we have

The number of chocolate chip cookies is

n_c=(1)/(2)*200=100,

the number of peanut butter cookies is

n_p=(3)/(20)*100=15

and the number of sugar cookies is

n_s=(1)/(10)*200=20.

Therefore, we must have

$100+15+20+n=200\\\\\Rightarrow 135+n=200\\\\\Rightarrow n=200-135\\\\\Rightarrow n=65.$

Thus, the required number of lemon cookies is 65.

Please log in or register to add a comment.