Question

1. tickets to a show cost $5.50 for adults and $4.25 for students. a family is purchasing 2 adult tickets and 3 student tickets.

a. estimate the total cost.
b. what is the exact cost?

Explanation:

Part a: Estimate the total cost

Step1: Round adult ticket price

Round $5.50 to $6 (or we can also round to $5.5 for a closer estimate, but let's use $6 for simplicity here). For 2 adult tickets, the estimated cost is $6\times2 = 12$.

Step2: Round student ticket price

Round $4.25 to $4. For 3 student tickets, the estimated cost is $4\times3 = 12$.

Step3: Sum the estimated costs

Add the estimated costs of adult and student tickets: $12 + 12 = 24$. (Alternatively, if we round $5.50 to $5.5 and $4.25 to $4.3, then adult cost: $5.5\times2 = 11$, student cost: $4.3\times3 = 12.9$, total estimate: $11 + 12.9 = 23.9\approx24$)

Step1: Calculate cost of adult tickets

Adult ticket price is $5.50, and 2 are bought. So cost for adults: $5.50\times2 = 11$.

Step2: Calculate cost of student tickets

Student ticket price is $4.25, and 3 are bought. So cost for students: $4.25\times3 = 12.75$.

Step3: Sum the exact costs

Add the cost of adult and student tickets: $11 + 12.75 = 23.75$.

Answer:

The estimated total cost is approximately $\$24$ (or a close estimate around that value depending on rounding method).

Part b: Exact cost