Question

Anna is a teacher at an elementary school. She purchased 73 tickets to take the first-grade children and some parents on a field trip to the zoo. She purchased
children's tickets for $9 each and adult tickets for $15 each. She spent a total of $771. How many of each ticket did she buy?
Adults
Children
Total

Answer 1

She bought 54 child tickets and 19 adult tickets.

Step-by-step explanation:

No. of tickets purchased = 73

Cost of tickets = $771

Cost of one child ticket = $9

Cost of one adult ticket = $15

Let,

Child ticket = x

Adult ticket = y

According to given statement;

x+y=73   Eqn 1

9x+15y=771   Eqn 2

Multiplying Eqn 1 by 9;

$9(x+y=73)\\9x+9y=657\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2;

$(9x+15y)-(9x+9y)=771-657\\9x+15y-9x-9y=114\\6y=114$

Dividing both sides by 6;

$\frac{6y}{6}=\frac{114}{6}\\y=19$

Putting y=19 in Eqn 1

$x+19=73\\x=73-19\\x=54$

She bought 54 child tickets and 19 adult tickets.

Keywords: linear equations, subtraction

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