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Start by naming the variables
x= basketballs
y=footballs
write the system of equations
[tex]x+y=8[/tex]also when he says up to means that the cost can be less or equal to 150
[tex]20x+15y\leq150[/tex]continue by graphing both of the equations
He could buy 6 basketballs and 2 footballs in order to spend $150
The black line represents the amount of balls Mr. Boyle needs, each point that lies on this line is a possible combination of how to buy the balls, the blue shaded region represents all the combinations that will cost less than $150, the point (6,2) is the maximim combination he can use.