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A ticket to the park costs $89.30. You have a coupon that allows you to buy a second ticket for 12

off. How much would it cost for you to buy two tickets to the park using your coupon?(2 points)
Responses

$133.95
$133.95

$89.30
$89.30

$44.65
$44.65

$178.60
$178.60
Question 2
You and your friends stop by the souvenir shop. You all decide to buy two postcards for $0.99 each, three keychains at $1.25 each, and four photo frames at $5.65 each. If you split the cost four ways, how much will each of you owe?(2 points)
Responses

$22.60
$22.60

$3.75
$3.75

$28.33
$28.33

$7.08
$7.08
Question 3
One ride has a 2 34
of an hour wait. However, you have a fast pass that will save you 1 12
hours of wait time. How long will you have to wait to get on the ride?(2 points)
Responses

1 14
hours
1 14
hours

3 14
hours
3 14
hours

14
hours
1 fourth hours

1 23
hours
1 23
hours
Question 4
By the end of the day, you have determined that you spent 34
of an hour waiting in a roller coaster line, 1 15
hours waiting in a water ride line, and 23
of an hour waiting in a theater show line. How many hours did you spend waiting in line?(2 points)
Responses

2 3760
hours
2 3760
hours

1 3760
hours
1 3760
hours

3 3340
hours
3 3340
hours

2 12
hours
2 12
hours

1 answer

Let's solve each question step by step.

Question 1: Cost of Two Tickets with a Coupon

  1. The cost of one ticket: $89.30
  2. The discount on the second ticket: $12 off

To calculate the cost of the second ticket:

  • Cost of the second ticket = $89.30 - $12 = $77.30

Now, add the cost of both tickets:

  • Total cost = $89.30 + $77.30 = $166.60

So, none of the provided responses match our calculation, which means either the discount was miscalculated or the options are incorrect. However, the correct answer based on the given numbers is:

  • $166.60

Question 2: Cost of Souvenirs Split Four Ways

  1. Cost of two postcards: 2 * $0.99 = $1.98
  2. Cost of three keychains: 3 * $1.25 = $3.75
  3. Cost of four photo frames: 4 * $5.65 = $22.60

Now, calculate the total cost:

  • Total cost = $1.98 + $3.75 + $22.60 = $28.33

Now, split this cost four ways:

  • Each person owes = $28.33 / 4 = $7.08

Therefore, the answer is:

  • $7.08

Question 3: Wait Time for the Ride with Fast Pass

  1. Original wait time: \(2 \frac{3}{4}\) hours = \(2.75\) hours
  2. Fast pass saves: \(1 \frac{1}{2}\) hours = \(1.5\) hours

Calculate the new wait time:

  • New wait time = Original wait time - Fast pass time
  • New wait time = \(2.75 - 1.5 = 1.25\) hours = \(1 \frac{1}{4}\) hours

So, the answer is:

  • 1 1/4 hours

Question 4: Total Time Waiting in Lines

  1. Time waiting in roller coaster line: \( \frac{3}{4} \) hours = \(0.75\) hours
  2. Time waiting in water ride line: \(1 \frac{1}{4}\) hours = \(1.25\) hours
  3. Time waiting in theater show line: \( \frac{2}{3} \) hours (assuming this is meant instead of \( \frac{23}{x} \))

To sum these up:

  • Total time = \(0.75 + 1.25 + \frac{2}{3}\)

To add these fractions: Convert everything to a common denominator (which may be 12):

  • \(0.75 = \frac{9}{12}\)
  • \(1.25 = \frac{15}{12}\)
  • \( \frac{2}{3} = \frac{8}{12}\)

Now add:

  • Total = \( \frac{9}{12} + \frac{15}{12} + \frac{8}{12} = \frac{32}{12} = 2 \frac{2}{3}\) hours

So, the answer is:

  • 2 2/3 hours

If you have any further questions or need additional assistance, feel free to ask!