Vacation tour price

Boris and Brandon were on vacation by the sea with their parents. The stay cost the whole family 2170 euros. The trip price for a child was 115 euros lower than an adult's. Both boys took advantage of this discount this year. What was the price of the tour for a child and what for an adult?

Final Answer:

a =  600
c =  485

Step-by-step explanation:

2a+2c = 2170
c = a - 115

2·a+2·c = 2170
c = a - 115

2a+2c = 2170
a-c = 115

Row 2 - 1/2 · Row 1 → Row 2
2a+2c = 2170
-2c = -970


c = -970/-2 = 485
a = 2170-2c/2 = 2170-2 · 485/2 = 600

a = 600
c = 485

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