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 StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction 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?
5x+10y=100 and 1/3x+1/2y=1750
5x+10y=1750 and 1/3x+1/2y=100
x+y=100 and 1/3x+1/2y=1750
x+y=1750 and 1/3x+1/2y=100