Jasper W. answered 10/27/20
Skilled engineer with a strong math background
So we're looking for the cost of an adult ticket, so let say an adult ticket costs X dollars.
We can then assign another variable to the amount a child's ticket costs, lets say a child's ticket costs Y dollars
And we know an adults tickets are 2 dollars more than the child's ticket. Thus,
X = Y + 2
And the total for 3 child's tickets and one adult ticket is 20 dollars. Thus,
X + 3Y = 20
plugging in our equation relating the price of an adult and child ticket and solving for the price of a child's ticket we have,
(Y + 2) + 3Y = 20
4Y + 2 = 20
4Y = 18
Y = 4.5
Then plugging Y back into the equation for X, we find our answer of the price for an adult ticket,
X = Y + 2
X = 4.5 + 2
X = 6.5
We can check this answer by adding up the tickets purchased,
X + 3Y =
6.5 + 3(4.5) = 20 yay