Question

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York Three adults and tour children must pay $124. Two adults and three children must pay $88. Find the serice of the addit's ticket and the price of a child's ticketThe price of a child's ticket is $The price of an adult's ticket is $

Answer 1

It is given that two adults and three children pay $88.

Represent it as equation

2x+3y=88

Then three adults and four children pay $124.

It is written is equation form as follows.

3x+4y=124

Here x is adults' price and y is children's price.

Solve the system of equation as follows.

`\begin{gathered} 3x+4y=124 \\ 2x+3y=88 \\ 6x+8y=248 \\ 6x+9y=264 \end{gathered}`

Now subtract each of the last two equations to get -y=-16

Hence y = 16

Substitute in equation 1, we get

`\begin{gathered} 2x+48=88 \\ 2x=40 \\ x=20 \end{gathered}`

Therefore, adult price is $20 and children price is $16