Denny bought tickets to the circus. He bought 3 child tickets. The child tickets were $5 less than the adult tickets. He spent $45 total. Which equation can be used to find the price of an adult ticket, t?(1 point) Responses 3(t−5)=45 3 times open paren t minus 5 close paren is equal to 45 5(3t+3)=45 5 times open paren 3 t plus 3 close paren is equal to 45 3(2t−5)=45 3 times open paren 2 t minus 5 close paren is equal to 45 45(t−5)=3
The equation that can be used to find the price of an adult ticket, t, is:
3(t - 5) = 45.
Tell why is isn't 3(2t - 5) = 45
The equation 3(2t - 5) = 45 is not the correct equation to use because it does not represent the given information in the problem.
The problem states that Denny bought 3 child tickets, which were $5 less than the adult tickets. This means that the child tickets cost t - $5, where t represents the price of an adult ticket.
To find the total amount Denny spent, the equation should be 3(t - 5) = 45, which accounts for the 3 child tickets costing $45 in total.
To find the correct equation, let's break down the information given:
1. Denny bought 3 child tickets.
2. The child tickets were $5 less than the adult tickets.
3. He spent $45 in total.
Let's assign variables to the unknowns:
Let c be the price of a child ticket.
Let a be the price of an adult ticket.
From the information given, we can create two equations:
1. Denny bought 3 child tickets: 3c
2. The child tickets were $5 less than the adult tickets: c = a - 5
We also know that Denny spent a total of $45, therefore we can create another equation:
3. Total cost: 3c + a = 45
Now, let's determine which equation matches our situation:
Option 1: 3(t − 5) = 45
This equation assumes that the price of a child ticket is t - 5, which doesn't align with our information.
Option 2: 5(3t + 3) = 45
This equation assumes that the price of a child ticket is 3t + 3, which doesn't align with our information.
Option 3: 3(2t − 5) = 45
This equation assumes that the price of a child ticket is 2t - 5, which doesn't align with our information.
Option 4: 45(t − 5) = 3
This equation mistakenly assigns the total cost to 3, instead of 45.
None of the given options match our situation.