SOLUTION: A tent maker had 4500 square yards of nylon tent material available. It takes 45 square yards of nylon to make an 8 x 10 tent and 50 square yards to make a 9 x 12 tent. To model th

Algebra ->  Linear-equations -> SOLUTION: A tent maker had 4500 square yards of nylon tent material available. It takes 45 square yards of nylon to make an 8 x 10 tent and 50 square yards to make a 9 x 12 tent. To model th      Log On


   



Question 288165: A tent maker had 4500 square yards of nylon tent material available. It takes 45 square yards of nylon to make an 8 x 10 tent and 50 square yards to make a 9 x 12 tent. To model this situation, the manager wrote the equation 45x + 50y = 4500.
a) What do x and y represent? Graph the equation.
b) How many solutions are there to the equation, given that the number of tents of each type must be a whole number?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a)
x could represent the number of 8by10 tents and
y could represent the number of 9by12 tents to be made from the 4500 sq yds of nylon but the manager didn't tell us.
b)
9 integer solutions
x=10 y=81
x=20 y=72
x=30 y=63
x=40 y=54
x=50 y=45
x=60 y=36
x=70 y=27
x=80 y=18
x=90 y=9