Two groups of people visited an amusement park. a group of
8 children and 4 adults paid $856 for their tickets. a different grou
of 2 children and 4 adults paid $508. what was the cost of a ticket
for an adult?

8.5 or 8.50

Step-by-step explanation:

The cost of an adult ticket is $15.50 and the cost of a child ticket is $8.50

Proof:

Set up a system of equations calling Adults a and Children c

2a+3c= $56.50 (equation 1)

4c+a= $49.50 (equation 2)

a= -4c+49.50 (i subtracted 4c to both sides) (label equation 3)

sub equation 3 into equation 1

2(-4c+49.50)+3c= 56.50

-8c+99+3c=56.50

-5c+99=56.50

    -99    -99

-5c = -42.50

c= -42.50/ -5

c= 8.50

sub c=8.50 into equation 3 to find adult price

a= -4(8.5)+49.50

a= 15.50

Therefore Child Cost = $8.50 and Adult Cost= $15.50

or

a=adult

c=child

Equation 1 (the first family)

2a+3c=56.5

Equation 2 (the second family)

a+4c=49.5 multiply by 2

2a+8c=99  multiply by -1

-2a-8c=-99

Systems of Equations

   (2a+3c=56.5)

+  (-2a-8c=-99)

        -5c=-42.5

            c=$8.5

Substitute

2a+3*8.5=56.5

2a+25.5=56.5

2a=31

a=$15.5

Conclusion

Adult Ticket: $15.5

Child Ticket: $8.5

may i see the picture? it would a lot, xox

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week