Answer: Cost of a giant cookies = $1.39
Cost of a cake= $6.95
Cost of a pie= $4.95
Step-by-step explanation:
Let price of a giant cookie = x
Then,
price of a cake = 5x
Price of a pie = 5x-2
Cost of 30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x
= 150x+200x-80+200x [By distributive property a(b+c)=ab+ac]
= 550x-80
Given cost = $684.50
[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]
[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]
Cost of a giant cookies = $1.39
Cost of a cake = 5 x $1.39 = $6.95
Cost of a pie = $6.95 - $2 = $4.95
