The number of kids in your group is 12.
Step-by-step explanation:
Given,
Number of people = 20
Cost of each kid ticket = $4
Cost of each adult ticket = $6
Total spent = $96
Let,
x be the number of kids ticket
y be the number of adult ticket
According to given statement;
x+y=20 Eqn 1
4x+6y=96 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(x+y=20)\\4x+4y=80\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](4x+6y)-(4x+4y)=96-80\\4x+6y-4x-4y=16\\2y=16[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{16}{2}\\y=8[/tex]
Putting y=8 in Eqn 1
[tex]x+8=20\\x=20-8\\x=12[/tex]
The number of kids in your group is 12.
Keywords: linear equation, elimination method
Learn more about elimination method at:
- brainly.com/question/8907574
- brainly.com/question/8790374
#LearnwithBrainly
