Suppose one bakery oven at a cookie manufacturer is being used to bake chocolate cookies and vanilla cookies. A batch of chocolate cookies bakes in 8 minutes, and a batch of vanilla cookies bakes in 10 minutes. Let x represent the number of batches of chocolate cookies and y represent the number of batches of vanilla cookies. Write a linear inequality for the number of batches of each type of cookie that could be baked in one oven in an 8-hour shift.

Question

Kiana Stout

Mathematics

22 May, 00:23

Suppose one bakery oven at a cookie manufacturer is being used to bake chocolate cookies and vanilla cookies. A batch of chocolate cookies bakes in 8 minutes, and a batch of vanilla cookies bakes in 10 minutes. Let x represent the number of batches of chocolate cookies and y represent the number of batches of vanilla cookies. Write a linear inequality for the number of batches of each type of cookie that could be baked in one oven in an 8-hour shift.

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Sarahi · Answer 1

Let x represent the # of choc. cookies baked and y the # of vanilla cookies.

The amount of oven time required for the choc. cookies is 8x; that for the van. cookies is 10y.

The total oven time is 8 hours, or 8 (60) minutes, or 480 minutes.

Thus, 8x + 6y (less than or equal to) 480 (minutes).