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 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 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

Answer 1

5x + 10y = 1,750

Answer 2

We can write the following system of equations:

5x + 10y = 1,750 (because they bought $1,750 worth of shirts)

1/3x + 1/2y = 100

When we solve this system we get x = 150 and y = 100.