five kids and three adults are going to the circus. kids tickets are on sale for half the price of adult tickets. the total cost is $60. how much is one kids ticket? how much is one adult ticket?
Let x = kids' price, then 2x = adults'.
5x + 3(2x) = 60
Solve for x.
To solve this problem, we can set up two equations based on the given information.
Let x be the cost of one adult ticket.
Since the cost of a kid's ticket is half the price of an adult ticket, the cost of one kid's ticket can be expressed as x/2.
Now, we can create the equations:
Equation 1: 5(x/2) + 3x = 60 (since there are 5 kids and 3 adults, and the total cost is $60)
Equation 2: 5x/2 + 3x = 60 (simplified Equation 1)
To solve these equations, we can use the distributive property, combine like terms, and isolate the variable.
Let's solve Equation 2 step by step:
Step 1: Multiply each term by 2 to eliminate the fraction:
2 * (5x/2) + 3x * 2 = 60 * 2
10x + 6x = 120
Step 2: Combine like terms:
(10x + 6x) = 16x
16x = 120
Step 3: Divide both sides by 16 to solve for x:
16x/16 = 120/16
x = 7.5
Therefore, the cost of one adult ticket is $7.5.
Now, let's find the cost of one kid's ticket:
Since the cost of one kid's ticket is half the price of an adult ticket, we can calculate it by dividing the cost of an adult ticket by 2:
x/2 = 7.5/2 = $3.75
Therefore, the cost of one kid's ticket is $3.75.
In conclusion, one adult ticket costs $7.50, and one kid's ticket costs $3.75.