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Chapter 3: Q. 327 (page 400)

Katherine is a personal chef. She charges \(115per four-person meal. Her monthly expenses are 3,150. How many four-person meals must she sell in order to make a profit of at least \)1,900?

Short Answer

Expert verified

Katherine must sell44four-person meals in order to make a profit of at least $1,900.

Step by step solution

01

Step 1. Given information

The charges for per four person meal is,$115.

Katherine's monthly expenses is, $3,150.

Let xbe the number of four person meals.

Katherine has to sell in order to make a profit of at least $1,900.

From the given information, we can write a statement.

$115times of the number of four person meals minus$3,150is atleast$1,900.

02

Step 2. Let us create an equation by using the statement.

115x-3,150鈮�1,900

Now simplify the obtained equation.

115x鈮�1,900+3,150115x鈮�5050x鈮�5050115x鈮�43.91x鈮�44

03

Step 3. Let us check the answer.

11544-3,150鈮�1,9005,060-3,150鈮�1,9001,910鈮�1,900

which is true.

Therefore, Katherine must sell 44four-person meals in order to make a profit of at least$1,900.

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