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You and a group of 7 friends go out for pizza. One large pizza and 3 small drinks cost $21.96.

You and a group of 7 friends go out for pizza. One large pizza and 3 small drinks cost $21.96. One large pizza and 6 small drinks cost $27.93. Write an equation that models the total cost y (in dollars) for one large pizza and any number of drinks x. Use the equation to estimate the cost of one large pizza and 8 small drinks for you and your friends. Please help this will determine my grade!

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Carol H. | Experienced Mathematics Tutor w/ Master's Degree in MathExperienced Mathematics Tutor w/ Master'...
4.9 4.9 (276 lesson ratings) (276)
1
Let x = the cost of one large pizza
Let y = the cost of one small drink
   3x + y = 21.96
-(6x + y = 27.93)
 -3x        = -5.97
           x = $1.99
 
3(1.99) + y = 21.96
5.97 + y = 21.96
y = $15.99
 
So, 1 large pizza and 8 small drinks would cost  15.99 + 8(1.99) = $31.91