Question

Average movie prices in the united states are, in general, lower than in other countries. Ot would cost $78.85 to buy 3 tickets in Japan plus 2 in Switzerland. 3 tickets in Switzerland plus 2 tickets in Japan would cost $74.95. How much does tha verage movie ticket cost in each of these countries?

Answer 1

Lets setup some equations from our known data...

Answer 2

78.85 = 3J + 2S
74.95 = 3S + 2J
as you can see we have two unknowns with two equations and can solve

Answer 3

we can use the substitution or the elimination method. I prefer substitution. Which would you like, or can you solve it from here on?

Answer 4

substitution
ism uch easier

Answer 5

can you solve it yourself now?

Answer 6

no i need help still

Answer 7

78.85 = 3J + 2S
74.95 = 3S + 2J

Solve one of the equations for a variable.
78.85 = 3J + 2S
78.85 - 3J = 2S
(78.85/2) - (3/2)J = S

Substitute this in to the other equation.
74.95 = 3((78.85/2) - (3/2)J) + 2J

Solve for J. Now that we know J, plug that into one of the original equations and solve for S.

Answer 8

Because both unknowns have a coefficient in front, substitution is actually kind of messy and I would probably go with the elimination method. i will show the steps for this too

Answer 9

You need to create a common coefficient so one of the terms drops out.
(78.85 = 3J + 2S)3
(74.95 = 3S + 2J)2

Now we can solve each equation for the common term
3*78.85 - 9j = 6s
2*74.95 - 4j = 6s

Because they equal the same thing we can set them equal to one another
3*78.85 - 9j = 2*74.95 - 4j

Solve for j and substitute that back into one of the original equations to get s