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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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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)
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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