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8 answers

K=Kid
A=Adult

K+A=150
(4)K+(7)A=840

2 equations and 2 unknows. You can solve for each.

K=150-A
(4)(150-A)+(7)A=840
600-4A+7A=840
3A=240
A=80

150-80=70

70 kids tickets and 80 adult tickets were sold.

2007-05-28 08:44:50 · answer #1 · answered by Cool Nerd At Your Service 4 · 0 0

The formula is:
4k+7a=840
150=k+a
You then subtract the "a" from the second equation and plug it in for the k in the first equation. It then becomes:
4(150-a) +7a=840 then you factor it out to be:
600-4a+7a=840 then again:
240=3a so that a=80 then subtract that from 150 and it gives you 70.

2007-05-28 08:54:00 · answer #2 · answered by yahoo user 12 2 · 0 0

Let x = number of kid tickets sold

Let 150-x = number of adult tickets sold

With this, we can get:

4x + 7(150-x) = 840.

*** keep reading if you want the solution ***

4x + 1050 - 7x = 840

-3x + 1050 = 840

-3x = 210

x = 70

So, there were 70 kid tickets sold and 150-x, or 150-70, or 80 adult tickets sold.

2007-05-28 08:45:05 · answer #3 · answered by jbone907 4 · 0 0

4x + 7y = 840 : total value of all tickets
x + y = 150 : total number of tickets sold
4x + 4y = 600 : 4 times second equation
4x - 4x + 7y - 4y = 840 - 600 : subtract new equation from first equation
3y = 240 : simplify
80 adult tickets sold. : divided by three
150 - 80 = 70 : total less adult tickets
70 kid tickets sold. : equals kid tickets sold

2007-05-28 09:10:26 · answer #4 · answered by Don E Knows 6 · 0 0

4K + 7A = 840
K + A = 150
so
K = 150 - A
substitute
4k + 7A = 840
4(150 - a) + 7a= 840
600 - 4a + 7a = 840
600 + 3a = 840
3a = 240
a = 80

80 adult tickets

80+ kids = 150 tickets sold

u got it from here

2007-05-28 08:49:03 · answer #5 · answered by tom4bucs 7 · 0 0

k=kid ticket, a=adult ticket

4k+7a=840 (cost)
k+a=150 (quantity)

use substitution or elimination to solve

4k+7a=840
-4k-4a=-600
------------------
3a=240
a=80
so k = 70

2007-05-28 08:47:51 · answer #6 · answered by hrhbg 3 · 0 0

4X + 7Y = 840
X+Y = 150
Y = -X + 150
4X + 7(-X+150) = 840
4X - 7X + 1050 = 840
-3X = -210
3X = 210
X = 70
70 + Y= 150
Y = 80

80 Adults
70 Kids

2007-05-28 08:47:58 · answer #7 · answered by kz03jd 1 · 0 0

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2016-12-30 04:15:39 · answer #8 · answered by garcon 3 · 0 0

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