Question

you take a group of 20 people going to the movies. kids’ tickets cost $4 each, and adults tickets $6 each. your total cost is $96. the number of kids in your group is

Answer 1

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

$4(x+y=20)\\4x+4y=80\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(4x+6y)-(4x+4y)=96-80\\4x+6y-4x-4y=16\\2y=16$

Dividing both sides by 2

$\frac{2y}{2}=\frac{16}{2}\\y=8$

Putting y=8 in Eqn 1

$x+8=20\\x=20-8\\x=12$

The number of kids in your group is 12.

Keywords: linear equation, elimination method

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