The system of the equation that represents the situation is 5x + 10y = 1750, (1/3)x + (1/2)y = 100, and the number of short-sleeved shirts that were ordered is 150 and long-sleeved is 100.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
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We have:
The selling price of long-sleeved shirts for $10 each.
The selling price of short-sleeved shirts for $5 each.
Now,
5x + 10y = 1750
After solving both equations:
x = 150
y = 100
Thus, the system of the equation that represents the situation is 5x + 10y = 1750, (1/3)x + (1/2)y = 100, and the number of short-sleeved shirts that were ordered is 150 and long-sleeved is 100.
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