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Mrs. Wadley is tie-dying t-shirts for her AP Stats class. White shirts cost $4 each and black shirts are $5 each. There are 18 students in the class, and she spent $75. How many white shirts did she buy ? how many black shirts?

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absor201

Mrs. Wadley bought 15 white shirts and 3 black shirts.

Step-by-step explanation:

Cost of one white shirt = $4

Cost of one black shirt = $5

Students in class = 18

Money spent on shirts = $75

Let,

white shirts = x

black shirts = y

According to given statement;

x+y=18     Eqn 1

4x+5y=75   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=18)\\5x+5y=90\ \ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3;

[tex](5x+5y)-(4x+5y)=90-75\\5x+5y-4x-5y=15\\x=15[/tex]

Putting x=4 in Eqn 1

[tex]15+y=18\\y=18-15\\y=3[/tex]

Mrs. Wadley bought 15 white shirts and 3 black shirts.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/5341416
  • brainly.com/question/5340976

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