Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered. which system of linear equations represents the situation? 5x 10y = 100 and 5 x plus 10 y equals 100 and startfraction one-third endfraction x plus startfraction one-half endfraction y equals 1,750.x startfraction one-half endfractiony = 1,750 5x 10y = 1,750 and 5 x plus 10 y equals 1,750 and startfraction one-third endfraction x plus startfraction one-half endfraction y equals 100.x y = 100 x y = 100 and x plus y equals 100 and startfraction one-third endfraction x plus startfraction one-half endfraction y equals 1,750.x y = 1,750 x y = 1,750 and x plus y equals 1,750 and startfraction one-third endfraction x plus startfraction one-half endfraction y equals 100.x y = 100

A linear equation is an equation with the highest degree of the variable is one. There may be one or more variables but their degree must be 1 to become a linear equation.

The general form of a linear equation is y = mx + c.

Calculation:

In the given situation,

Consider x as the number of short-sleeved shirts ordered and y as the number of long-sleeved shirts ordered.

It is given that,

Price for short-sleeved shirts = $5

Price long-sleeved shirts =$10

The total price for 100 shirts ordered = $1,750

So, we can write the linear equation as

5x + 10y = 1750 ...(i)

It is given that,

After the first week, they sold 1/3 of the short-sleeved shirts and 1/2 of the long-sleeved shirts. I.e.,

1/3x + 1/2y = 100 ...(ii)

Thus, from equations (i) and (ii), the system of linear equations that represent the given situation is

5x + 10y = 1750

1/3x + 1/2y = 100

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Question:

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of shirts ordered, and to earn a total of $1,750. After the first week of the fundraiser, they sold 1/3 of the short-sleeved shirts and 1/2 of the long-sleeved shirts, for a total of 100 shirts.

Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered. which system of linear equations represents the situation?