Question

mid-lesson checkpoint
the cost of an adult ticket and 2 child tickets at an amusement park is $55. if x represents the cost of a child ticket and y represents the cost of an adult ticket, write an equation that models this situation.
graph your equation on the set of axes below.
if an adult ticket costs $25, how much does a child ticket cost? justify your answer using the graph.
feedback: how confident are you in comparing and ordering rational numbers? circle your answer.
i totally get it! i feel ok, but could use some more practice. i dont get it. i need help.

Explanation:

Step1: Analyze the problem

The total cost is the sum of the cost of an adult ticket ($y$) and 2 child tickets ($2x$). The total cost is $55$.

Step2: Write the equation

Using the relationship from Step1, the equation is $y + 2x=55$.

Step3: Solve for $x$ when $y = 25$

Substitute $y = 25$ into the equation $y+2x = 55$.
We get $25+2x=55$.
Subtract 25 from both sides: $2x=55 - 25$.
So, $2x=30$.
Divide both sides by 2: $x=\frac{30}{2}=15$.

Answer:

The equation is $y + 2x = 55$. When an adult ticket ($y$) costs $25$, a child ticket ($x$) costs $15$.