SOLUTION: 1. In your industrial oven, you bake three baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies. Su

Question 250381: 1.
In your industrial oven, you bake three baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies.

Suppose you have decided to price the scones at $2.28 each and the cookies at $1.19 each.
Yesterday your store earned $1148.42 just from the sale of scones and cookies, which $797.30 came from selling 670 cookies. Write and solve an equation that represents how many SCONES were sold.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x = number of scones sold.
y = number of cookies sold.

scones are sold at $2.28 apiece.
coodies are sold at $1.19 apiece.

you earned $1148.42 from the sale of scones and cookies.

you earned $797.30 from selling 670 cookies.

your equation is:

2.28 * x + 1.29 * y = 1148.42

x is the number of scones sold.
y is the number of cookies sold.

you are given y.

y = 670

you are given how much you made from y.

y * 1.19 = 670 * 1.19 = 797.30

I did the math to confirm that 670 * 1.19 does equal 797.30. It does.

you would take your formula and substitute 797.30 for y * 1.19 to get:

2.28 * x + 797.30 = 1148.42

subtract 797.30 from both sides of this equation to get:

2.28 * x = 1148.42 - 797.30 = 351.12

divide both sides of this equation by 2.28 to get:

x = 351.12 / 2.28 = 154

you sold 154 scones.

154 * 2.28 + 670 * 1.19 = 351.12 + 797.3 = 1148.42 confirming the number of scones is correct.

The first paragraph in the problem statement was extraneous information meaning that it had no relationship to what was necessary to solve this problem.

that paragraph was:

start paragraph.
In your industrial oven, you bake three baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies.
end paragraph.

If you removed that paragraph, the problem would be solved in exactly the manner I showed you regardless.

I suspect that may be what they were trying to teach you. Not all the information you are given is pertinent to the problem. You need to be able to determine what information is relevant and what information is not. That's now always easy.

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