Question

Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before tax). 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?
Let x = the cost of each pizza in dollars
Let y = the cost of each 2-liter of soda (in dollars)
Cost of pizza:
Cost of 2-liter:

I need help with this word problem ASAP. Show work if possible! :)
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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

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.