Question

Please Help Me!!!!

Answer 1

Answer:

Option A -  x + y = 531  , y = 2x

Step-by-step explanation:

Given : The variable x represents the number of long sleeve shirts Nancy bought.

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.

To find : How many of each type of shirt did she buy

Solution : From the given statements we conclude that,

Statement 1 - 'Nancy bought 531 shirts for her business'.

$x+y = 531$ ..........[1]

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

$y = 2x$ ..........[2]

These two equation form the system of equation model of above problem

→ $x+y = 531$ ..........[1] and

→ $y = 2x$ ..........[2]

Now, we solve equation [1] and [2],

Put the value of y from equation [2] into [1],

$x+2x = 531$

$3x = 531$

$x = 177$ ........[3]

Put value of x in [2],

$y = 2(177)=354$ ......[4]

The equation [3] and [4] shows the solution of the system

Long sleeve shirts = 177

Short sleeve shirts = 354

And total = 531

Therefore, Option A is correct - x + y = 531  , y = 2x  

Therefore, the number of long sleeve shirts Nancy bought is 177 and the number of short sleeve shirts she bought is 354.

Also, the system of equations models this problem are:

and  which is the last option in the given set of options.

Answer 2

We know that Nancy bought 531 shirts. The variable x represents the number of long sleeve shirts and y represents the number of short sleeve shirts.Therefore:x + y = 531"She bought 2 times as many short sleeve shirts (y) as long sleeve shirts (x)."y = 2 xAnswer:A.  x + y = 531y = 2 x