Five kids and two adults are going to the circus. Kid's tickets are on sale for only half of the adult tickets. The total cost is $50. How much is one kids ticket? How much is one adult ticket?
kid's ticket ---- $ x
adult's ticked --- $ 2x
5x + 2(2x) = 50
9x = 50
x = 5.5555..
2x = 11.1111
so a children ticket is $5.56 and an adult ticket is $11.11
check: 2 adults + 5 kids
= 2(11.11) + 5(5.56)
= 50.02
(I would have designed the question so the price comes out exact to the penny)
To find out the cost of a child's ticket and an adult's ticket, we can set up a system of equations.
Let's represent the cost of a child's ticket as "c" and the cost of an adult's ticket as "a".
According to the given information, there are five kids and two adults going to the circus, and the total cost is $50. We can express this as two equations:
Equation 1: 5c + 2a = 50 (since the total cost is $50)
Equation 2: c = 0.5a (since the kid's ticket is half the cost of an adult's ticket)
To find the values of "c" and "a", we can solve these equations simultaneously.
Substituting the value of "c" from Equation 2 into Equation 1, we get:
5(0.5a) + 2a = 50
2.5a + 2a = 50
4.5a = 50
a = 50/4.5
a ≈ 11.11
Therefore, the adult's ticket costs approximately $11.11.
Substituting the value of "a" back into Equation 2, we find:
c = 0.5(11.11)
c ≈ $5.56
So, the child's ticket costs approximately $5.56.