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Do you wanna order pizza from Little Caesars every week for his coworkers one week he orders for thin crust pizzas in for deep dish pizzas and it cost him $58 the next week he order six thin crust pizzas and three deep dish pizzas and it cost him $63 after paying for the pizzas the last few weeks he's curious how much each pizza cost determine the cost of a thin crust and deep dish pizza and he might invite you next week

User Pmb
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1 Answer

6 votes

Answer:

The cost of one thin crust pizza is $6.5

The cost of one deep dish pizza is $8

Explanation:

Let x= cost of one thin crust pizza

Let y=cost of one deep dish pizza

If Four thin crust pizzas and four deep dish pizzas cost $58

4x+4y=58.............(i)

Six thin crust pizzas and three deep dish pizzas cost $63

6x+3y=63....................(ii)

We solve equations (i) and (ii) simultaneously

4x+4y=58.............(i)

6x+3y=63.............(ii)

To make the coefficeint of y the same, multiply (i) by 3 and (ii) by 4

[4x+4y=58] X 3

12x+12y=174

[6x+3y=63] X 4

24x+12y=252

Eliminating y by subtracting (iv) from (iii)

12x+12y=174............(iii)

24x+12y=252............(iv)

-12x=-78

x=6.5

Substitute x=6.5 into any of the equations, say (iv)

(24X6.5)+12y=252

156+12y=252

12y=252-156=96

y=96/12=8

x=6.5, y=8

User Mloskot
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