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?

Respuesta :

Nancy bought 354 short sleeve shirts and 177 long sleeve shirts.

Step-by-step explanation:

Given,

x represents the number of long sleeve shirts

y represents the number of short sleeve shirts

According to given statement;

x+y=531        Eqn 1

x = 2y           Eqn 2

Putting value of x from Eqn 2 in Eqn 1

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

Dividing both sides by 3

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

Putting y=177 in Eqn 2

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

Nancy bought 354 short sleeve shirts and 177 long sleeve shirts.

Keywords: linear equation, substitution method

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