Question

Katya treated everyone in theater to a pizza party .She bought 12 pizzas and six 2-litter of soda.The bill was (before tax)$137.64. The night before,Katya had bought one pizza and one 2-liter of soda for her family and the bill was $11.95(before tax).How much was each pizza? How much was each 2-liter of soda?

Answer 1

let the price of pizza and soda( per 2 litre bottle) be x and y


from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y=11.95.......(2)


multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6
2x+2y= 23.9
- - -
10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6


the prices of pizza and soda are 11.37 and 0.6 dollars

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