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A student is making cookies for a bake sale. He sells 8 snickerdoodles and 12 chocolate chip

cookies for a total of $6.92. Another customer pays $3.25 for 5 snickerdoodles and 5 chocolate chip
cookies. How much is the student charging for each type of cookies?

User Lotta
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1 Answer

3 votes
3 votes

Answer:

Snickerdoodles are 0.22$ each and chocolate chip are 0.43$ each

Explanation:

using the information in the problem, you can make 2 separate equations: 8x+12y=6.92 and 5x+5y=3.25, let x= the cost of a snickerdoodle and y= the cost of a chocolate chip cookie.

With the 2 equations, we can isolate the y variable of the first equation and simplify which will give us y= -2/3x +6.92/12.

You can now take that equation and plug it into equation number 2:

5x+5(-2/3x + 6.92/12)=3.25.

solve that equation by multiplying 5 through the brackets: 5x-10/3x+34.6/12=3.25

add common terms: 5/3x=4.4/12

find the value of x, you will get x=0.22

plug the value of x (0.22) into one of your equations and solve for the y-value

User Mantrum
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