Question

you are selling snacks at the border trade fair. you are selling nachos and lemonade. each nachos costs $2.50 and each lemonade cost $2.25. at the end of the night you made a total of $112.50. you sold a total of 94 nachos and lemonade combined. how many nachos and lemonades were sold?

Answer 1

In order to determine the number of nachos and lemonade sold, you first write the given situation in an algebraic way.

If x is the number of nachos and y the number of lemonades, then, you have:

2.50x + 2.25y = 112.50 cost of the nachos and lemonade sold

x + y = 94 nachos and lemonade sold

Next, solve the previous system.

Multiply the second equation by 2.50. Next, subtract the equation to the first one:

(x + y = 94)(2.50)

2.50x + 2.50y = 235

2.50x + 2.25y = 112.50

-2.50x - 2.50y = -235

-0.25y = -122.5

solve the previous equation for y:

y = -122.5/(-0.25)

y = 490

Next, replace the previous value of y into the expression x + y = 94 and solve for x:

x + y = 94

x + 490 =