a holiday concert chargers $4 for children and $8 for adults . there are 325 tickets sold for a total of $2100. Write a system of linear equations and solve it using substitution

Question

a holiday concert chargers $4 for children and $8 for adults . there are 325 tickets sold for a total of $2100. Write a system of linear equations and solve it using substitution

Answer 1

Let the number of tickets sold to children be 'x'

and the number of tickets sold to adults be 'y'

x + y = 325 -(Equation 1)

4x + 8y = 2100 -(Equation 2)

From Equation 1,

x = 325 - y

Using the substitution method to substitute the value of x in Equation 2:

4(325 - y) + 8y = 2100

=> 1300 - 4y + 8y = 2100

=> 4y + 1300 = 2100

=> 4y = 800

=> y = 800 / 4

=> y = 200

So, 200 tickets were sold to the Adults.

Now, substitution the value y = 200 in Equation 1

x + 200 = 325

=> x = 325 - 200

=> x = 125

Therefore, 125 tickets were sold to children and 200 tickets were sold to Adults.