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 $1,750. after the first week of the fundraiser, they sold of the short-sleeved shirts and 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?

Answer 1

150 short sleeves ordered
100 long sleeves ordered

Answer 2

The complete statement is:

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.

Solution:

Total number of short sleeve shirts those were ordered = x

Total number of long sleeve shirts those were ordered = y

Price of each short sleeve short is $5. So price of x short sleeve shirts will be 5x. Price of each long sleeve shirt is $10, so the price of y long sleeve shirts will be 10y.

The drama club hope to sell all x short sleeve shirts and y long sleeve shirts to earn $1750.

So we can set up the equation as:

5x + 10y = 1750 (Equation 1)

After first week 1/3 of the short sleeve shirts were sold. This means x/3 short sleeve shirts were sold. After first week 1/2 of long sleeve shirts were sold. This means y/2 of the long sleeve shirts were sold. In total they sold 100 shirts, so we can set up the equation as:

`(x)/(3) +(y)/(2)=100` (Equation 2)

Equation 1 and Equation 2 represent the system of linear equations for the situation given above.