Question

tonight, at the summersville community center, there is a live musical performance of the rockstar prince. khalils family is going to see it. the tickets are $19.50 each, and his family paid $117.00 in all. let t represent how many tickets khalils family bought. which equation models the problem? \\(\frac{t}{19.50} = 117.00\\) \\(19.50t = 117.00\\) solve this equation to find how many tickets khalils family bought. tickets submit

Explanation:

Step1: Identify the correct equation

Each ticket costs $19.50, and LXI0 is the number of tickets. The total cost is $117.00. The total cost is the price per ticket times the number of tickets, so the equation should be \( 19.50t = 117.00 \). The other equation \( \frac{t}{19.50}=117.00 \) would imply that the number of tickets divided by the price per ticket equals the total cost, which doesn't make sense in this context.

Step2: Solve \( 19.50t = 117.00 \) for \( t \)

To solve for \( t \), we divide both sides of the equation by 19.50:
\[
t=\frac{117.00}{19.50}
\]
Calculating the right - hand side, \( 117\div19.5 = 6 \).

Answer:

The equation \( 19.50t = 117.00 \) models the problem, and Khali's family bought 6 tickets.