QuestionProblem Situation: Alec buys tickets to an amusement park. He buys one adult ticket for $\$ 45$ and four youth tickets. He pays a total of $\$ 137$ . What is the cost of a youth ticket? Complete the equation to represent this situation. The letter $t$ represents the cost of a youth ticket. CLEAR CHECK $\square$ $t+45=$ $\square$

Studdy Solution

STEP 1

1. Alec buys one adult ticket for $45.<br />2. Alec buys four youth tickets.<br />3. Alec pays a total of$ 137.
4. The letter $t$ represents the cost of a youth ticket.
5. We need to find the cost of a youth ticket.

STEP 2

1. Identify the known values and variables.
2. Set up the equation.
3. Solve the equation for the unknown variable.

STEP 3

Identify the known values and variables.
- The cost of one adult ticket is $45. - The total cost paid by Alec is$ 137. - The cost of one youth ticket is represented by the variable $t$ . - Alec buys four youth tickets.

STEP 4

Set up the equation.
The total cost includes one adult ticket and four youth tickets. Therefore, the equation is:
$4t + 45 = 137$

STEP 5

Solve the equation for the unknown variable $t$ .
Subtract 45 from both sides to isolate the term with $t$ :
$4t = 137 - 45$ $4t = 92$
Divide both sides by 4 to solve for $t$ :
$t = \frac{92}{4}$ $t = 23$
The cost of a youth ticket is:
$\boxed{23}$

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