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Write a system of inequalities

Algebra
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the senior class needs at least $1000 for prom. They decide to have a car wash in order to raise money,charging $4 for small vehicles and $6 for large vehicles. If they can wash no more than 200 vehicles, how many vehicles of each type must they wash in order to raise at least $1000?

Apr 16th, 2015

assume there are x small vehicles and y large vehicles.

4x+6y>=1000        equation 1

x+y<=200              equation 2

according to equation 2: x<=200-y, plug it in equation 1

4(200-y)+6y=1000

800-4y+6y=1000

2y=200, y=100

so they need 100 small vehicles and 100 large vehicles in order to raise at least $1000

Apr 16th, 2015

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