Algebraic Expressions

“A group of students is organizing a bake sale to raise money for their school trip. They plan to sell two types of cookies, chocolate chip cookies, and oatmeal cookies. The number of chocolate chip cookies they plan to bake is represented by the variable ‘c’, and the number of oatmeal cookies is represented by the variable ‘o’.

The total cost to bake ‘c’ chocolate chip cookies is given by the expression 0.75c, and the total cost to bake ‘o’ oatmeal cookies is given by the expression 0.50o.

If the students plan to bake a total of 100 cookies, write an algebraic expression to represent the total cost of baking all the cookies. Also, determine the total cost if they bake 30 chocolate chip cookies and 70 oatmeal cookies.”

Solution 

Number of chocolate chip cookies=> c

Number of oatmeal cookies => 0

Therefore, 

The toal cost of baking all cookies = 0.75c+0.50o

To determine the total cost of baking 30 chocolate chip cookies and 70 oatmeal cookies, we substitute 30 and 70 with c & o in the expression:

Total cost = 0.75(30)+0.50(70)

Total cost = 22.50+35

Total cost= 57.50

Therefore, the total cost of baking 100 cookies (30 chocolate chip cookies and 70 oatmeal cookies) would be $57.50

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