To find out how many prize tickets Mikey won playing Hole-in-One, we need to set up an equation using the information provided in the problem. According to the problem, Mikey's total number of prize tickets won from Hole-in-One, Jump Shot, and Bowl Alley is 65. Let's break down the information and the steps to form the proper equation:
1. Mikey won [tex]\( p \)[/tex] prize tickets playing Hole-in-One.
2. Mikey won 17 prize tickets playing Jump Shot.
3. Mikey won 14 prize tickets playing Bowl Alley.
4. The total number of prize tickets Mikey has now is 65.
We want to find an equation that correctly represents this situation.
Step 1: Add up all the prize tickets from the three activities:
[tex]\[ \text{Total tickets} = \text{Hole-in-One tickets} + \text{Jump Shot tickets} + \text{Bowl Alley tickets} \][/tex]
Step 2: Plug in the values we know:
[tex]\[ 65 = p + 17 + 14 \][/tex]
Step 3: Simplify the equation:
[tex]\[ p + 17 + 14 = 65 \][/tex]
Therefore, the correct equation that could be used to solve this question is:
[tex]\[ A. \, p + 17 + 14 = 65 \][/tex]
To solve for [tex]\( p \)[/tex], we would combine the constants on the left side:
[tex]\[ p + 31 = 65 \][/tex]
Next, subtract 31 from both sides:
[tex]\[ p = 65 - 31 \][/tex]
[tex]\[ p = 34 \][/tex]
Hence, Mikey won 34 prize tickets playing Hole-in-One.
