theater tickets are $8 for general admission and $5 for students. During one evening, 240 tickets were sold, and the receipts were $1680. How many of each type of ticket was sold?
need help with this one please!! thanks
2007-09-25 07:52:10 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
8A + 5S = 1680
A + S = 240 , S = 240 - A
8A + 5(240 - A) = 1680
8A + 1200 - 5A = 1680
3A = 480
A = 160
S = 80
2007-09-25 07:55:21 · answer #1 · answered by Axis Flip 3 · 0⤊ 0⤋
Let x be the general admission tickets
Let y be the student admission tickets
x + y = 240
x($8) + y($5) = $1680
Multiply the first eqn by -8 and add both eqns
-8x - 8y = -8(240) = -1920
-3y = -1920 + 1680 = -240
y = 240/3 = 80 students
x + 80 = 240
y = 240-80 = 160 general admission
2007-09-25 08:00:57 · answer #2 · answered by kellenraid 6 · 0⤊ 0⤋
Let S be the number of student tickets sold and let G be the number of general admission tickets sold.
8G + 5S = 1680
G + S = 240
So G = 240 - S
8(240 - S) + 5S = 1680
1920 - 8S + 5S = 1680
-3S = -240
S = 80
That means G = 160
2007-09-25 07:57:22 · answer #3 · answered by PMP 5 · 0⤊ 0⤋
let x be the number of genrel tickets
so 240-x will be the number of students
so:
8*x+5*(240-x)=1680
so
3x=480 ==> x=160
the answer:
genrel tickets that sold are 160
students tickets that sold are 240-160=80
2007-09-25 07:58:58 · answer #4 · answered by alon n 1 · 0⤊ 0⤋
x= general admission
240-x = students
8x+5(240-x)=1680
8x+1200-5x=1680
3x=480
x=160 general admission
80 students
2007-09-25 07:56:52 · answer #5 · answered by chasrmck 6 · 0⤊ 0⤋
160 and 80
2007-09-29 08:01:42 · answer #6 · answered by HI 2 · 0⤊ 0⤋
$sixty 5-$15 =$50 ( quite value of calls) $50/ $0.25= form of minutes interior of her funds, which equals 200 minutes. i don't comprehend approximately 5 steps on condition that's the ideal answer.
2016-12-28 03:04:02 · answer #7 · answered by ? 3 · 0⤊ 0⤋
Is this a homework assignment? Isn't there a reason you should do it yourself?
2007-09-25 07:54:15 · answer #8 · answered by Steve C 7 · 0⤊ 0⤋