$1670 collected for 300 tickets sold. $9 adults & $4 child. How many adult tickets were sold?
9a+4(300-a) = 1670
Now just solve for a
1670 YAAAAAAAAAAAAAAAAAAAAAAAAAAAAY I GOT IT
To find the number of adult tickets sold, we can set up a system of equations. Let's represent the number of adult tickets sold as 'x' and the number of child tickets sold as 'y'.
Given that a total of 300 tickets were sold, we have:
x + y = 300 (Equation 1)
Given that $9 is collected for each adult ticket and $4 is collected for each child ticket, the total amount collected can be expressed as:
$9x + $4y = $1670 (Equation 2)
Now, we can solve this system of equations to find the solution.
One way to solve this system is by using the substitution method. We can rearrange Equation 1 to express y in terms of x:
y = 300 - x
Substituting this expression for y into Equation 2, we have:
$9x + $4(300 - x) = $1670
Simplifying this equation, we get:
$9x + $1200 - $4x = $1670
Combining like terms, we have:
$5x + $1200 = $1670
Next, we isolate 'x' by subtracting $1200 from both sides:
$5x = $1670 - $1200
$5x = $470
Finally, we divide both sides by $5 to solve for 'x':
x = $470 / $5
x = 94
Therefore, 94 adult tickets were sold.