Define variables and write an equation,
William bought tickets for a concert. The adult tickets cost $30 per ticket, and the children’s tickets cost $20 per ticket. If he spent a total of $270, then how many of each ticket did he buy?
30 a + 20 c = 270
You need more information because you need two equations to solve for two variables. For example you might say there were 10 more children than adults c = a + 10 but the problem did not give you anything like that so you can write one equation but not solve the problem.
To solve this problem, let's define some variables.
Let's use:
- x to represent the number of adult tickets
- y to represent the number of children's tickets
As given in the problem, each adult ticket costs $30, and each children's ticket costs $20.
So, we can write the equation:
30x + 20y = 270
This equation represents the total cost of the tickets.
Now, we can use this equation to find the values of x and y.
To solve this problem, we can define two variables:
Let's assume:
x = the number of adult tickets William bought
y = the number of children's tickets William bought
Now, let's write the equation based on the given information:
The cost of x adult tickets is 30x dollars.
The cost of y children's tickets is 20y dollars.
According to the given information, William spent a total of $270. Therefore, we can write the equation:
30x + 20y = 270
This equation represents the total cost of all the tickets purchased.
Now, our goal is to determine the values of x and y that satisfy the equation.