Mr. Gosling drove his family to the local theme park for the day. The cost for admission is $45 per ticket and $25 for parking.
Which equation can be used to find p, the number people in Mr. Gosling’s family, if he spent a total of $295?
Responses
A 45p + 25 = 29545 p + 25 = 295
B 45p - 25 = 29545 p - 25 = 295
C 45 + 25p = 29545 + 25 p = 295
D 45 – 25p = 295
A) 45p + 25 = 295
To find the number of people in Mr. Gosling's family, we need to use the equation that represents the total cost. Let's go through the answer options one by one:
A. 45p + 25 = 295
This equation represents the total cost as $45 per ticket plus $25 for parking. However, this equation does not subtract the cost from the total, so it is not correct.
B. 45p - 25 = 295
This equation represents the total cost as $45 per ticket minus $25 for parking. However, this equation does not add the cost to the total, so it is not correct.
C. 45 + 25p = 295
This equation represents the total cost as $45 plus $25 per ticket. This equation correctly adds the cost to the total, so it is a potential answer.
D. 45 - 25p = 295
This equation represents the total cost as $45 minus $25 per ticket. However, this equation does not add the cost to the total, so it is not correct.
Therefore, the correct equation is C. 45 + 25p = 295.
To find the number of people in Mr. Gosling's family (p), we can set up an equation that represents the total cost he spent.
The cost for admission per person is $45, so the total cost for admission would be 45p.
The cost for parking is $25.
The total cost that Mr. Gosling spent is $295.
Based on this information, we can set up the equation:
45p + 25 = 295
The equation represents the total cost of admission (45p) plus the cost of parking ($25), which equals $295.
Therefore, the correct equation is:
A) 45p + 25 = 295