Total tickets sold$1625. Adults $7,kids $3. Twice as many kids as adults bought tickets. How many adults and kid tickets were sold.
Let a = adults
7a + 2(3a) = 1625
13a = 1625
a = 125
125
To determine the number of adult and kid tickets sold, let's use algebra to solve the problem step by step.
Let's assume the number of adult tickets sold is 'x.' Since the number of kids who bought tickets is twice the number of adults, we can express the number of kid tickets as '2x.'
The given information states that the total amount of money collected from ticket sales is $1625. We know that adult tickets cost $7 and kid tickets cost $3.
Therefore, the equation representing the total ticket sales is:
7x + 3(2x) = 1625
Simplifying the equation:
7x + 6x = 1625
Combining the like terms:
13x = 1625
Now, let's isolate 'x' by dividing both sides of the equation by 13:
x = 1625 / 13
Evaluating the division:
x ≈ 125
So, 'x' represents the number of adult tickets sold, which is approximately 125. Since the number of kid tickets sold is twice the number of adult tickets, we can calculate it:
2x = 2 * 125 = 250
Therefore, there were approximately 125 adult tickets and 250 kid tickets sold.