Question

PLEASE HELP ME!

Answer 1

The system of equations that models the given situation is:

x+y =531

y=2x

She bought 177 long sleeved shirts and 354 short-sleeved shirts.

Step-by-step explanation:

Given

x = Long-sleeves shirt

y= short sleeves shirts

Then

Nancy bought 531 shirts for her business.

x+y =531     Eqn 1

She bought 2 times as many short-sleeve shirts as long-sleeve shirts.

y=2x        Eqn 2

Putting y=2x in eqn 1

$x+y=531\\x+2x = 531\\3x=531\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{531}{3}\\x=177\\Putting\ x=177\ in\ eqn\ 2\\y=2(177)\\y=354$

She bought 177 long sleeved shirts and 354 short-sleeved shirts.

Keywords: Linear Equations, Variables

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