Question

John sells tickets to a school concert. Adult tickets cost $6.50 and children’s tickets cost $4.50. John collects a total of 157.50 from the ticket sales and he sells twice as many adult tickets as children’s tickets. How many tickets does he sell all together?

Answer 1

John sold 18 adults tickets and 9 children tickets.

Step-by-step explanation:

Given,

Cost of adult ticket = $6.50

Cost of children ticket = $4.50

Total collected = $157.50

Let,

Number of adult tickets sold = x

Number of children tickets sold = y

According to given statement;

6.50x+4.50y=157.50    Eqn 1

he sells twice as many adult tickets as children’s tickets.

x=2y     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$6.50(2y)+4.50y=157.50\\13y+4.50y=157.50\\17.50y=157.50$

Dividing both sides by 17.50

$\frac{17.50y}{17.50}=\frac{157.50}{17.50}\\y=9$

Putting y=9 in Eqn 2

$x=2(9)\\x=18$

John sold 18 adults tickets and 9 children tickets.

Keywords: linear equation, substitution method

Learn more about substitution method at:

• brainly.com/question/13063819
• brainly.com/question/13219835

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