On Saturday afternoon, 11 children and 5 adults went to visit a museum. Total cost for admission was $158. Adult tickets cost $6 more than children’s ticket. What is the price of an adult ticket ?
Pls help
Let x = price of children ticket, and y = price of adult
(1) 11x + 5y = 158
(2) x + 6 = y
Substitute (2) into (1):
11x + 5(x+6) = 158
16x = 128
x = 8
y = 14
Therefore the price of an adult ticket is $14.
To find the price of an adult ticket, let's break down the problem into steps:
Step 1: Let's assign variables to the unknowns in the problem.
Let C be the cost of a child ticket.
Let A be the cost of an adult ticket.
Step 2: Set up the equations based on the given information.
We are given that 11 children and 5 adults went to the museum, and the total cost for admission was $158. This can be expressed as:
11C + 5A = 158 ...(Equation 1)
It is also stated that adult tickets cost $6 more than children's tickets:
A = C + 6 ...(Equation 2)
Step 3: Solve the equations simultaneously.
We can substitute Equation 2 into Equation 1:
11C + 5(C + 6) = 158
Simplify:
11C + 5C + 30 = 158
16C = 128
C = 8
Now substitute the value of C into Equation 2 to find the price of an adult ticket:
A = 8 + 6
A = 14
Therefore, the price of an adult ticket is $14.
Final answer: The price of an adult ticket is $14.
To find the price of an adult ticket, we can set up a system of equations based on the given information. Let's assume the price of a child's ticket is "x" dollars.
From the information given, we know that there were 11 children and 5 adults, making a total of 16 people. The total cost for admission was $158.
Since each adult ticket costs $6 more than each child ticket, the price of an adult ticket would be "x + $6" dollars.
Now, let's set up the equations:
Equation 1: the total number of people is the sum of the number of children and the number of adults.
11 + 5 = 16
Equation 2: the total cost of admission is the sum of the cost of children's admission and the cost of adults' admission.
11x + 5(x + $6) = $158
Simplifying equation 2:
11x + 5x + $30 = $158
16x + $30 = $158
16x = $158 - $30
16x = $128
Now, we can solve for "x" by dividing both sides of the equation by 16:
x = $128 / 16
x = $8
Therefore, the price of a child's ticket is $8.
Since the price of an adult ticket is "x + $6", substitute the value of "x" into the equation:
Price of an adult ticket = $8 + $6 = $14
So, the price of an adult ticket is $14.