Joe and Mary

Question

Joe and Mary spent a total of $23.10 to attend a movie. The cost of their snacks and drinks was 2/5 as much as the total cost of their tickets.

a) Write an equation that can be solved to find the total cost of the tickets.

b) Determine the cost of the tickets and of the refreshments.

c) Show that your answers work.

 

Answer 1

Cierra,

 

Joe and Mary found a cheap movie theater! I'll try to help you get started.

 

a) To write an equation we need to decide on a variable name. Call S the snacks and drinks. Let T be the tickets. The total cost of the trip to the movies was S+T = $23.10. We are told that snacks and drinks cost 2/5 of the ticket price. So, S = (2/5)T. This is the hardest part of this problem. The equation for the ticket price is

 

(7/5)T=23.10

 

 

b) Solving the equation above gives T=$16.50. Snacks cost S = (2/5)T = $6.60.

 

c) Show that your answers work by showing the individual numbers add up to the total money spent.

 

I hope this helps.