Jen butler has been pricing speed pass train fares for a group trip to new york. three adult and four children must pay $122. two adults and three children must pay $87. find the price of the adult ticket and the price of the child

Let price of adult ticket is $x

And price of child ticket is $y

So we can make two equations using the given data

Now we can use eliminator method to solve the two equations

Multiply first equation by 2 and second equation by -3

now add both the equations so we get

combine the like terms

Divide both sides by -1

Plug y=17 in any one of the equations to solve for x

Subtract 68 from both sides

Divide both sides by 3

So x=18 and y=17

So

Price of adult ticket= $18

Price of child ticket = $17