Two movie tickets and 3 snacks are $25. Three movie tickets and 4 snacks are $35. How much is a movie ticket and what is the average price of a snack?

Question

i have nothing additional 

Answer 1

t = price of ticket

s = price of snack

 

The information provided translates into algebra as

 

2t + 3s = 25

3t + 4s = 35

 

You have a system of 2 linear equations in 2 unknowns t and s.  Solve for t and s.  Try substitution.  Get t in terms of s from the top equation and substitute for t in the bottom equation, resulting in an equation with only one variable, which is s.  Solve it for s, and then substitute for s in either equation to get an equation in t only, and solve it for t.  You should be able to finish from here.

Answer 2

Let x = price of movie ticket and y = price of snack

Then we have the two equations:

 

2x + 3y = $25 and 

3x + 4y = $35

 

multiplying the first equation by 3 and the second equation by -2 gives us

 

 6x + 9y = $75

-6x  - 8y= $70

 

Adding two equations yields

 

y =5

 

Substituting 5 for y gives us 

 

2x + 3*15 = $25

 

2x = 10

 

x= 5

 

Hope this helps