Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.
Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.
Using the substitution method:
x + y = 300 ⇒ y = 300 - x ⇒ Equation (3)
12x + 8y = 3280 ⇒ 12x + 8(300-x) = 3280 ⇒ x = 220
y = 300 - x ⇒ y = 300-220 ⇒ 80
Therefore 220 adult tickets and 80 children's tickets were sold.
Answer:
The solution is obtained by adding the two equations.
The solution is: (x, y) = (
,
)
Step-by-step explanation:
We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.
The two equations are:


Adding both the equations, we get:



Substituting the value of 'x', we get the value of y.
We substitute in (2). [Can be substituted in any equation].
We get: y = 2x - 1



So, we get the corresponding values of x and y which is the solution of the two equations.
Answer:
$14,048.62
Step-by-step explanation:
The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%
The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.
So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:
A = P (1 + [ r / n ]) ^ nt
A= amount of the balance after a period of t
P= principal, the initial money deposit( $3,715)
r= rate(9%)
n= number of compound per unit of time(3 times per year)
t= time(15 years)
The calculation will be:
A = P (1 + [ r / n ]) ^ nt
A = 
A = $14,048.62