Atheater charges $5.00 admission for adults and $2.50 for children. at one showing 240 admissions brought a total of $800. how many adults attended the showing?

80

Step-by-step explanation:

Let the number of adults be x

Let the number of children be y

This means that the money paid by adults and kids is $5 multiplied by x (5x) and $2.50 multiplied by y (2.5y)

This will give two equations as shown below

x + y = 240  total admissions equation 1

5x + 2.5y = 800  total money paidequation 2

Making x the subject of formula in equation 1

x=240-yequation 3

Substituting equation 3 into equation 2

5(240-y) + 2.5y = 800  removing the brackets

1200 - 5y + 2.5y = 800 grouping like terms

-5y + 2.5y = 800-1200  simplifying

-2.5y  = -400 therefore

-2.5y/-2.5 = -400/-2.5

y = 160

Substituting y into equation 3

x = 240 - y

x = 240 - 160

x = 80

Hence number of adults who attended = 80

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?