SOLUTION: Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.03 to buy three tickets in Japan plus two tickets in Switzerlan
Question 1136679: Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.03 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.47. How much does an average movie ticket cost in each of these countries? Answer by ikleyn(52786) (Show Source):
3*J + 2*S = 78.03 (1)
2*J + 3*S = 74.47 (2)
Apply the Elimination method. Multiply eq(1) by 2 (both sides); then multiply eq(2) by 3. You will get
6*J + 4*S = 2*78.03 (3)
6*J + 9*S = 3*74.47 (4)
Now subtract eq(3) from eq(4). You will get
9S - 4S = 3*74.47 - 2*78.03
5S = 67.35 =================> S = = 13.47.
Substitute this value S= 13.47 into eq(1) and find J:
3J + 2*13.47 = 78.03
3J = 78.03 - 2*13.47 = 51.09 ============> J = = 17.03.
ANSWER. $17.03 for Japan and $13.47 for Switzerland (in equivalent money units).
