The Center for Science and Industry sells adult tickets for $11 and children's tickets for $9. The expression 11ac represents the socal revenue from selling a adult tickets and c children's tickets Eve the algebraic express 119 for a 122 and c 408 The total revenue for a 122 and c = 408 is $
To solve this problem, we'll use the given algebraic expressions.
The expression 11ac represents the total revenue from selling a adult tickets and c children's tickets.
Then, we are given the equation 11ac = 408.
On the other hand, the expression 119 is the total revenue from selling adult tickets (122 adult tickets were sold). And the expression 9c is the total revenue from selling children's tickets (408 children's tickets were sold).
So, the equation for the total revenue is 119 + 9c = 408.
To find the total revenue, we need to solve this equation.
119 + 9c = 408
Subtract 119 from both sides:
9c = 289
Divide both sides by 9:
c = 32
Now we can substitute the value of c back into one of the equations to find the total revenue.
11ac = 408
11a(32) = 408
11a = 408 / 32
11a = 12
a = 12 / 11
Therefore, the total revenue for 122 adult tickets and 408 children's tickets is $12.
To find the total revenue for selling adult tickets and children's tickets, you can use the given expression 11ac, where a represents the number of adult tickets and c represents the number of children's tickets sold.
The given algebraic expression is 119 for a + 122 and c = 408.
To solve for a and c, you can use the given equation:
119a + 122c = 408
Now we can solve for a or c.
To isolate a, subtract 122c from both sides of the equation:
119a = 408 - 122c
Next, divide both sides of the equation by 119:
a = (408 - 122c) / 119
Now you can substitute this expression for a in the revenue expression 11ac:
Revenue = 11((408 - 122c) / 119)c
Simplifying further, you get:
Revenue = (4488c - 1342c^2) / 119
This equation represents the total revenue obtained from selling adult tickets and children's tickets, where c is the number of children's tickets sold.