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HELP ME! PLEASE AND THANK YOU.

The variable x represents the number of long-sleeve shirts Nancy bought and the variable y represents the number of short-sleeve shirts she bought.


Nancy bought 531 shirts for her business. She bought 2 times as many short-sleeve shirts as long-sleeve shirts.


How many of each type of shirt did she buy?

Which system of equations models this problem?



{x+y=531y=2x


{x−y=531y=2x


{x+2y=531y=2x


{x+y=2y=531x

Respuesta :

absor201

Nancy bought 177 long sleeve and 354 short sleeve shirts.

{x+y=531, y=2x} represents the system of equations for this problem.

Step-by-step explanation:

Let,

x be the long sleeve shirts

y be the short sleeve shirts

Total shirts bought = 531

According to given statement;

x+y=531   Eqn 1

y = 2x  Eqn 2

Putting value of y from Eqn 2 in Eqn 1;

[tex]x+2x=531\\3x=531[/tex]

Dividing both sides by 3;

[tex]\frac{3x}{3}=\frac{531}{3}\\x=177[/tex]

Putting x=177 in Eqn 2

[tex]y=2(177)\\y=354[/tex]

Nancy bought 177 long sleeve and 354 short sleeve shirts.

{x+y=531, y=2x} represents the system of equations for this problem.

Keywords: Linear equation, substitution method

Learn more about substitution method at:

brainly.com/question/3126500

brainly.com/question/3306327

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