Math  /  Numbers & Operations

QuestionJanie has "buy one get one free" tickets to the comedy club. She is bringing 7 people, including herself. If the regular price is $12.25\$ 12.25 per person, how much change will she have left from a $100\$ 100 bill? $63.25\$ 63.25 $57.00\$ 57.00 $51.00\$ 51.00 \$14.25

Studdy Solution

STEP 1

What is this asking? How much money will Janie have left after buying comedy tickets for 7 people if she has "buy one get one free" tickets and they cost $12.25\$12.25 each, starting with $100\$100? Watch out! Don't forget the "buy one get one free" deal – it means she's not paying full price for everyone!

STEP 2

1. Calculate the number of tickets to *pay* for.
2. Calculate the total cost of the tickets.
3. Calculate the remaining change.

STEP 3

Alright, so Janie has a sweet "buy one get one free" deal!
This means for every **two** people, she only pays for **one** ticket.
She's bringing 7 people total.

STEP 4

Let's figure out how many **pairs** of people that is: 7÷2=3.57 \div 2 = 3.5.
Since we can't have half a pair, we know there are **3 full pairs** and **one extra person**.

STEP 5

For the **3 pairs**, she pays for 3 tickets (one for each pair).
Because of the deal, the other 3 people in the pairs get in free!
Awesome!

STEP 6

Now, what about that **extra person**?
Well, no free ticket for them, sadly.
Janie has to buy a ticket for that person.

STEP 7

So, in total, Janie needs to pay for 3+1=43 + 1 = \mathbf{4} tickets.

STEP 8

Each ticket costs $12.25\$12.25.
Since Janie is paying for **4** tickets, the total cost is 4$12.254 \cdot \$12.25.

STEP 9

Let's calculate that: 4$12.25=$49.004 \cdot \$12.25 = \mathbf{\$49.00}.
That's the total cost of the tickets.

STEP 10

Janie started with $100\$100 and spent $49\$49 on tickets.
To find out how much change she gets back, we subtract the cost of the tickets from the amount she started with.

STEP 11

So, $100$49=$51\$100 - \$49 = \mathbf{\$51}.

STEP 12

Janie will have $51\$51 left.
The correct answer choice is $51.00\$51.00.

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