The cost for birdpark tkts for 2 adults n 3 kids is $58. 4 adults n 2 kids $84. What is the cost for 40 kids?

Question

The cost for birdpark tkts for 2 adults n 3 kids is $58. 4 adults n 2 kids $84. What is the cost for 40 kids?

Answer 1

320

Answer 2

Make equations out of it:

A = Adults tickets

K = Kids tickets

2A + 3K = 58

4A + 2K = 84

-4A - 6K = -116 (multiply first equation by -2)

4A + 2K = 84

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          -4K = -32  (add the above equations)

              K = 8

One kids ticket is $8

40 kids tickets is 40 times $8 = $320.

Answer 3

Let x=the cost of an adult ticket and y=the cost of a kid ticket. You obtain a system of 2 linear equations in 2 unknowns, namely

2x+3y=58

4x+2y=84

First, multiply the first equation by -2 to obtain -4x-6y=-116.

Now, add this result to the original second equation to obtain -4y=-32. Dividing by -4 yields y=8. Hence, a kid ticket costs $8. Therefore, 40 kid tickets would cost $320. Not that it matters, but back-substituting y into the original first equation will help you find x (the price of an adult ticket).

2x+3(8)=58

2x+24=58

2x=34

x=17