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The school sells chocolate chip cookies for $6.95 per pound and white chocolate cookies for $5.95 per pound. How many pounds of chocolate chip cookies should be mixed with 4 pounds of white chocolate cookies to obtain a mixture that sells for $6.75 per pound?

a) 4 pounds
b) 5 pounds
c) 6 pounds
d) 7 pounds

1 Answer

6 votes

Final answer:

To obtain a mixture that sells for $6.75 per pound, we need to mix 6 pounds of chocolate chip cookies with 4 pounds of white chocolate cookies.

Step-by-step explanation:

To obtain a mixture that sells for $6.75 per pound, we need to find the amount of chocolate chip cookies that should be mixed with 4 pounds of white chocolate cookies. Let's assume that the unknown amount of chocolate chip cookies is x pounds.

The total weight of the mixture is the sum of the weights of chocolate chip cookies and white chocolate cookies, so we have x + 4 pounds.

The cost per pound of the mixture is given as $6.75.

Using the given information, we can set up the equation:

(6.95 * x + 5.95 * 4) / (x + 4) = 6.75

Solving this equation will give us the value of x, which represents the number of pounds of chocolate chip cookies:

x = 6 pounds

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User AGS
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