Question

Four movie tickets in Germany plus 3 movie tickets in France cost &62.27 three tickets in Germany plus 4 tickets in France cost $62.19 how much does an average movie ticket cost in each of these countries

Answer 1

Answer:tickets in Germany cost $8.93

tickets in France cost $8.85

Step-by-step explanation:

Let x represent the cost of a movie ticket in Germany.

Let y represent the cost of a movie ticket in France.

Four movie tickets in Germany plus 3 movie tickets in France cost &62.27. This means that

4x + 3y = 62.27 - - - - - - - - 1

three tickets in Germany plus 4 tickets in France cost $62.19

This means that

3x + 4y = 62.19 - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 4. It becomes

12x + 9y = 186.81

12x + 16y = 248.76

Subtracting,

- 7y = - 61.95

y = - 61.95/7

y = 8.85

Substituting y = 8.85 into equation 1, it becomes

4x + 3×8.85 = 62.27

4x + 26.55 = 62.27

4x = 62.27 - 26.55

4x = 35.72

x = 35.72/4 = 8.93