Answer:
Step-by-step explanation:
~First we have to write our two equations that are:
1. 8x+5y=$495(becoz the no. of adult tickets is unknown and children is unknown we use variables instead and multiplying them with the amount of money for each gives us 495)
2. x+y=75( No. of adult tickets and children altogether gives us 75)
~Use the substitution method by using any of the equations and putting the variable you want as the subject and then putting its values in the next equation:
x+y=75
x=75-y
~Substitute to find y(no. of children’s ticket)
8x+5y=495
8(75-y)+5y=495
600-8y+5y=495
-8y+5y=495-600
-3y=-105
y=-105/-3
y=35
Therefore, the no. of children tickets is 35.
~Substituting y in the substitution equation(x=75-y):
x=75-35
x=40
Therefor no. of tickets sold to adults is 40.
~Final answers:
Adults=40
Children=35
