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If all costs of a medium pizza are 80% of a similar large pizza, find the price of a...

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user4046196 | (Level 1) Salutatorian

Posted January 22, 2013 at 1:04 AM via web

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If all costs of a medium pizza are 80% of a similar large pizza, find the price of a large plain cheese pizza and the cost of each large pizza topping

Abigail orders a large 2 topping pizza for $14 and a medium 1 topping pizza for $10

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lfryerda | High School Teacher | (Level 2) Educator

Posted January 22, 2013 at 1:34 AM (Answer #1)

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Let x be the cost of a plain large pizza and y be the cost of a large topping.  This means that the large 2 topping pizza is:

`x+2y=14`     equation (1)

and the medium one topping pizza is 

`4/5(x+y)=10`     equation (2)

Take the second equation and divide by 2 and multiply by 5 to get

`2x+2y=25`   equation (3)

Now subtract (3)-(1)

`x=25-14=11`

Sub into (1) to get

`2y=14-11=3`  which simplifies to `y=3/2` .

The cost of a plain large pizza is $11 and each large topping is $1.50.

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