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3. tickets to a show cost $5.50 for adults and $4.25 for students. a fa…

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:

Response
Part a: Estimate the total cost

Step1: Round ticket prices

Round adult ticket price \$5.50 to \$6 (or keep as \$5.50 for simpler estimate), student ticket price \$4.25 to \$4.

Step2: Calculate estimated adult cost

For 2 adult tickets: \(2\times6 = 12\) (or \(2\times5.50 = 11\))

Step3: Calculate estimated student cost

For 3 student tickets: \(3\times4 = 12\)

Step4: Sum estimated costs

Total estimate: \(12 + 12 = 24\) (or \(11+12 = 23\), a common estimate is using \$5.50≈\$6 and \$4.25≈\$4, so \(2\times6 + 3\times4 = 12 + 12 = 24\))

Step1: Calculate adult ticket cost

2 adult tickets at \$5.50: \(2\times5.50 = 11\)

Step2: Calculate student ticket cost

3 student tickets at \$4.25: \(3\times4.25 = 12.75\)

Step3: Sum the costs

Total cost: \(11 + 12.75 = 23.75\)

Answer:

The estimated total cost is approximately \$24 (or \$23 - \$24 range, common estimate \$24).

Part b: Exact cost