Answer:
Adult ticket = $11
Children ticket = $9
Step-by-step explanation:
Let the price of adult tickets be x and let the price of children's ticket be y
For the first day, the equation of sales can be put as
3x + 12y = 141..........1
For the second day, the equation of sales can be put as:
13x + 6y = 197............2
We then take these two equations together and solve simultaneously.
3x + 12y = 141.......1
13x + 6y = 197........2
Solving by elimination method, we Multiply through equation 1 by 13 and multiply through equation 2 by 3.
39x + 156y = 1833.........3
39x + 18y = 591..............4
Then subtract equation 4 from equation 3
138y =1242
y = 9
Substitute "y=9" into equation 1 to find x
3x + 12(9) =141
3x + 108 = 141
3x = 141 - 108
3x = 33
x = 11
Hence,
Price of adult ticket = $11
Price of children ticket = $9
7(x+y)-7x
7x+7y-7x
7y is the answer
The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:
20 would be in the column for 2, and 60 would be in the column for 6.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:
y = kx
The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:
k = 6/2 = 3.
Hence the equation is:
y = 3x.
The values given by each column are given as follows:
When x = 20, the numeric value of the relationship is of:
y = 3 x 20 = 60.
Hence the first option is correct.
More can be learned about proportional relationships at brainly.com/question/10424180
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Answer:
(1,2) or equation form: x=1 y=2
Step-by-step explanation:
Used system of equations and doubled checked!