ten kids and two adults are going to the circus. Kid's tickets are on sale for only half the price of adult tickets. The total cost is $100. How much is one adult ticket?
Let's assume the price of an adult ticket is x in dollars.
Since the kids' tickets are on sale for half the price of adult tickets, the price of a kid's ticket would be x/2.
We know that there are ten kids and two adults going to the circus, so we can set up the following equation to find the price of an adult ticket:
2x + 10(x/2) = 100
Simplifying the equation:
2x + 10x/2 = 100
2x + 5x = 100
7x = 100
Dividing both sides of the equation by 7:
x = 100/7
Therefore, the price of one adult ticket is approximately $14.29.
10(T/2) + 2 T = 100
7 T = 100
T = 100/7
To find the price of an adult ticket, we need to set up an equation using the given information.
Let's assume the price of an adult ticket is represented by "x". Since the price of a kid's ticket is half that of an adult ticket, the price of a kid's ticket is "x/2".
Now let's set up the equation to represent the total cost. We have 10 kids and 2 adults attending, so we can write:
10 * (x/2) + 2 * x = 100
Multiplying 10 by (x/2) will give us the total cost of all the kids' tickets, and multiplying 2 by x will give us the total cost of the adults' tickets. Adding them together should equal $100.
Simplifying the equation further:
10 * x/2 + 2 * x = 100
5 * x + 2 * x = 100
7 * x = 100
To solve for x (the price of an adult ticket), divide both sides of the equation by 7:
7 * x / 7 = 100 / 7
x = 14.29
Therefore, one adult ticket costs $14.29 (rounded to two decimal places).