SOLUTION: Lucas, Rebecca, and Brandon order a Large pizza. They decide to split the cost according to how much they will eat. Brandon pays $5.68. Rebecca eats 1/6 of the pizza, and Lucas

Question 395920: Lucas, Rebecca, and Brandon order a Large pizza. They decide to split the cost according to how much they will eat. Brandon pays $5.68. Rebecca eats 1/6 of the pizza, and Lucas eats 7/11 of the pizza. How much did the pizza cost?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Lucas, Rebecca, and Brandon order a Large pizza. They decide to split the cost according to how much they will eat. Brandon pays $5.68. Rebecca eats 1/6 of the pizza, and Lucas eats 7/11 of the pizza. How much did the pizza cost?
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Rebecca and Lucas eat (1/6)+(7/11) = (11+42)/66 = 53/66 of the pizza.
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That leaves 13/66 for Brandon.
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Equation:
Let "x" be the cost of the pizza.
Solve: (13/66)x = 5.68
x = (66/13)5.68
x = $28.84
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Cheers,
Stan H.

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