# 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 toppingAbigail orders a large 2 topping pizza for $14...

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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Expert Answers

lfryerda | Certified Educator

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.**