Mrs. Flips sold 300 cookies for her bake sale. She sold
bought 16 total items and spent $1800. Each table cost
two types of cookies: large chocolate chip and small
$150 and each chair cost $50. Let x represent the
peanut butter cookies. She charged $1 for the chocolate
number of tables and y represent the number of chairs.
chip and 50-cents for the peanut butter cookies and
How many tables and chairs did he buy?
collected $270 total. How many of each type did she
sell?

Respuesta :

Mrs. Flips sold 240 Large chocolate chips and 60 small peanut butter cookies.

The correct form of the question is as follows:

  • Mrs. Flips sold 300 cookies for her bake sale. She sold two types of cookies: large chocolate chip and small peanut butter cookies. She charged $1 for the chocolate chip and 50-cents for the peanut butter cookies and collected $270 total. How many of each type did she sell?

We will use the system of equations to solve this question.

What is a system of equations?

A system of equations usually contains two or more equations with the same data of unknown variables.

The variables in the equation can be solved by using:

  • Simultaneous equation method or
  • Elimination method.

From the above information, let's assume that:

  • Large chocolate = x
  • Small peanuts = y

x + y = 300 ---- (1)

x + 0.50y = 270 ---- (2)

Using simultaneous equation method, from equation (1):

  • Let x = 300 - y

Now, we will replace the value of x into equation (2)

300 - y + 0.50y = 270

-0.50y = -300 +270

0.50 y = 30

y = 30/0.50

y = 60

From equation (1);

x + y = 300

x + 60 = 300

x = 300 - 60

x = 240

Therefore, we can conclude that Mrs. Flips sold 240 Large chocolate chips and 60 small peanut butter cookies.

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