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:
\(\frac{x}{3} +\frac{y}{2}=100\) (Equation 2)
Equation 1 and Equation 2 represent the system of linear equations for the situation given above.
