math is good bro

Question

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay

$86.  

Two adults and three children must pay

$61.  

Find the price of the​ adult's ticket and the price of a​ child's ticket.

Answer 1

Let a be the price of an adult ticket.

Let c be the price of a child's ticket.

3a + 4c = 86

2a + 3c = 61

Multiply the first equation by 2, and the second edition by 3:

6a + 8c = 172

6a + 9c = 183

Subtract the first equation from the second:

c = 11

Substitute this value back into the first equation:

3a + 4(11) = 86

3a + 44 = 86

Subtract 44 from both sides:

3a = 42

Divide both sides by 3:

a = 14

Check to make sure the second equation holds for these values:

2(14) + 3(11) = 28 + 33 = 61

So the correct answer is a = $14 and c = $11.

Answer 2

Answered! This is a duplicate question.