Let x = the number of reserved seats sold and y = the number of general seats sold.
1) x+y = 41,000 "41,000 people attended..."
2) $14(x)+$5(y) = $340,000 "The day's receipts were $340,000."
Rewrite equation 1) as x = y-41,000 and substitute into equation 2)
2a) 14(41,000-y)+5y = 340,000 Simplify and solve for y.
2a) 574,000-14y+5y = 340,000 Combine the y-terms.
2a) 574,000-9y = 340,000 Subtract 574,000 from both sides.
-9y = -234,000 Divide both sides by -9.
y = 26,000 and...
x = 41,000-26,000
x = 15,000
15,000 paid $14.00 for reserved seats.
26,000 paid $5.00 for general seats.
****NO ANSWER PROVIDED, DUE TO INSUFFICIENT QUESTIONING****
No equation to solve! I will be more than happy to help with this type of problem when you update the question, Thank You!
Dated - Tue 1/21 4:38p EST
(4x - y)/(2y + x) when x = 3 and y = 3 is
(4(3) - 3)/(2(3) + 3) = (12 - 3)/(6 + 3) = 9/9 = 1
X=weekly allowance
x/2=money saved (= money spent).
We can suggest this equation:
x/2+4=12
lowest common multiple=2
x+8=24
x=24-8
x=16
Answer: her weekly allowance is $16.
