A ticket agent sells 42 tickets to a play. The tickets cost [tex]\$29[/tex] each. Use rounding to estimate the total dollars taken in from the sale of the tickets.



Answer :

Sure, let's go through a detailed, step-by-step solution to estimate the total dollars taken in from the sale of 42 tickets, each costing [tex]$29. 1. Step 1: Round the Number of Tickets Sold - The number of tickets sold is 42. - Since 42 is close to the nearest multiple of 10, we round it to 40 for easier calculation. 2. Step 2: Round the Ticket Cost - The cost of each ticket is $[/tex]29.
- Since 29 is close to 30, we round it to 30 for easier calculation.

3. Step 3: Estimate the Total Dollars Taken In
- Multiplying the rounded numbers:
[tex]\[ 40 \text{ tickets} \times 30 \text{ dollars per ticket} = 1200 \text{ dollars} \][/tex]

So, using rounding for an estimation, the total dollars taken in from the sale of the tickets is approximately [tex]$1200. However, the precise calculation gives us a more accurate value. Given the precise calculations, the total dollars taken in from the sale of 42 tickets at $[/tex]29 each is:
[tex]\[ 42 \times 29 = 1218 \text{ dollars} \][/tex]