whats the cost of each ticket in Japan and Switzerland

Question

it would cost $80.93 to buy 3 tickets in Japan plus two tickets in Switzerland. 3 tickets in Switzerland plus two tickets in Japan would cost $76.77.  How much is each country tickets?

Answer 1

It would cost $80.93 to buy 3 tickets in Japan plus two tickets in Switzerland. 3 tickets in Switzerland plus two tickets in Japan would cost $76.77. How much is each country tickets?

80.93 = 3j + 2s
3s + 2j = 76.77

3j + 2s = 80.93
2j + 3s = 76.77

Multiply 1st equation by 2
and 2nd by –3; then add:

6j + 4s = 161.86
-6j – 9s = –230.31
–––––––––––––––
0 – 5s = –68.45

Divide both sides by –5:

s = $13.69 / ticket in Switzerland

2j + 3(13.69) = 76.77

2j = 76.77 – 3(13.69)

2j = 76.77 – 13.69 – 2(13.69)

2j = 63.08 – 2(13.69)

j = 31.54 – 13.69

j = $17.85 / ticket in Japan

check:

80.93 =? 3j + 2s
3s + 2j =? 76.77

80.93 =? 3(17.85) + 2(13.69)
3(13.69) + 2(17.85) =? 76.77

80.93 =? 53.55 + 27.38 √
41.07 + 35.70 = 76.77 √

Answer 2

J - tickets bought in Japan

 

S - Tickets bought in Switzerland

 

 2( (3J + 2S = 80.93)

-3 ((2J  + 3S = 76.77))

 

-5S = 2( 80.93) - 3 ( 76.77)

 

 S =13,69

 

   J = 80.93 - 2 ( 13.69) = 17.85

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