Logic and methodology would be appreciated.
2006-10-22 10:18:14 · 8 answers · asked by sattarsoul 2 in Science & Mathematics ➔ Mathematics
Let x=the number of adult tickets sold, and y=the number of student tickets sold.
x+y=420 and 5x+3y=1700
If we take y=420-x, we can plug it into the second equation, giving us:
5x+3(420-x)=1700
5x+1260-3x=1700
2x=440
x=220
So there were 220 adult tickets sold. (This also makes 420-220, or 200 student tickets sold.)
This can also be done using only one variable.
x=adult tickets sold
420-x=student tickets sold
5x+3(420-x)=1700
5x+1260-3x=1700
2x=440
x=220
2006-10-22 10:37:57 · answer #1 · answered by Hanna(h) 2 · 0⤊ 0⤋
Call X number of student tickets
call 420-X number of adult tickets
3X + 5(420-X) = 1700
3X + 2100-5X = 1700
-2X + 2100 = 1700
2100 - 1700 = 2X
400= 2X
X = 200 = number of student tickets
420-X = 420 - 200 = 220 = number of adult tickets
Gosh I type slow. In the time it took me to type this 3 people supplied the correct answer.
2006-10-22 10:40:17 · answer #2 · answered by Anonymous · 1⤊ 0⤋
3x + 5(420-x) = 1700
3x + 2100 - 5x = 1700
-2x = -400
x= 200 ($3 tickets)
420-x = 220 ($5 tickets)
2006-10-22 10:34:51 · answer #3 · answered by MollyMAM 6 · 0⤊ 0⤋
3x + 5y = 1700
x + y = 420
x=420 - y
3(420-y) + 5y = 1700
1260 -3y + 5y = 1700
1260 + 2y = 1700
2y = 440
y = 220
x = 200
Does it work?
220 at $5 is $1100
200 at $3 is $600
$1700
2006-10-22 10:42:55 · answer #4 · answered by Nomadd 7 · 0⤊ 0⤋
x + y = 420
3x + 5y = 1700
Multiply top by -3
-3x - 3y = -1260
3x + 5y = 1700
2y = 440
y = 220
x + y = 420
x + 220 = 420
x = 200
200 student tickets
220 adult tickets
2006-10-22 11:27:37 · answer #5 · answered by Sherman81 6 · 0⤊ 0⤋
let total no of adult tickets be X
and total no of student tickets be Y
now make two equations
1. - X+Y=420
2.- 5X+3Y=1700
solve the above equations to get the answer as
adult tickets- 220
student tickets-200
2006-10-22 10:33:31 · answer #6 · answered by amit v 2 · 0⤊ 0⤋
well, here's a way to do your math homework on-line! lol it's algebra!
the answer is based off this.
420= a + b
1700 = 3a + 5b
I forgot how to do these problems! I did these in 8th or 9th grade. I hope i helped!
2006-10-22 10:34:30 · answer #7 · answered by Kristinaaa 2 · 0⤊ 0⤋
Well, there is more than one answer, to clear that out.
2006-10-22 10:24:45 · answer #8 · answered by Anonymous · 0⤊ 1⤋