A professional baseball team sells regular tickets and premium tickets to all of its home games. At a recent game, the average price for a regular ticket was $52.46, and the average price for a premium ticket was $175.85. Which of the following equations shows a relationship where the number of regular tickets, r, and the number of premium tickets, p, that the team sells generates $5,000,000 in ticket sales?Choose 1 answer:(A) 52.46p+175.85r=5,0c(B) 52.46r+175.85p=5,0C(C) 52.46p+175.85r=5,01(D) 52.46r+175.85p=5,01
Q. A professional baseball team sells regular tickets and premium tickets to all of its home games. At a recent game, the average price for a regular ticket was $52.46, and the average price for a premium ticket was $175.85. Which of the following equations shows a relationship where the number of regular tickets, r, and the number of premium tickets, p, that the team sells generates $5,000,000 in ticket sales?Choose 1 answer:(A) 52.46p+175.85r=5,0c(B) 52.46r+175.85p=5,0C(C) 52.46p+175.85r=5,01(D) 52.46r+175.85p=5,01
Understand the problem: Understand the problem.We need to find an equation that represents the total ticket sales in terms of the number of regular tickets r and premium tickets p sold. The total sales should equal $5,000,000.
Set up the equation: Set up the equation.The total sales are made up of the sales from regular tickets and the sales from premium tickets. The sales from regular tickets can be represented as the number of regular tickets r multiplied by the price of each regular ticket ($52.46). The sales from premium tickets can be represented as the number of premium tickets p multiplied by the price of each premium ticket ($175.85). The sum of these two amounts should equal $5,000,000.
Write the equation: Write the equation.The equation that represents the total sales is:52.46×r+175.85×p=5,000,000
Match the equation with options: Match the equation with the given options.Comparing the equation from Step 3 with the given options, we find that option (D) matches the equation we derived:(D) 52.46r+175.85p=5,000,000
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