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QuestionLing and 3 friends' total cost for Misty Falls is \76.Eachhasa$6tuberental.Findtheticketcost76. Each has a \$6 tube rental. Find the ticket cost c$.

Studdy Solution

STEP 1

Assumptions1. The total cost for all4 people is 76.Thistotalcostincludesboththeentranceticketanda76. This total cost includes both the entrance ticket and a 6 tube rental fee for each person3. All4 people are paying the same amount for the entrance ticket and tube rental4. The cost of an entrance ticket is the same for each person

STEP 2

First, let's calculate the total cost of tube rental for all4 people. We can do this by multiplying the tube rental fee by the number of people.
Total tube rental cost=Tube rental fee per persontimesNumber of peopleTotal\, tube\, rental\, cost = Tube\, rental\, fee\, per\, person \\times Number\, of\, people

STEP 3

Now, plug in the given values for the tube rental fee per person and the number of people to calculate the total tube rental cost.
Total tube rental cost=$6timesTotal\, tube\, rental\, cost = \$6 \\times

STEP 4

Calculate the total tube rental cost.
Total tube rental cost=$6times4=$24Total\, tube\, rental\, cost = \$6 \\times4 = \$24

STEP 5

Now that we have the total tube rental cost, we can subtract this from the total cost to find the total cost of the entrance tickets for all4 people.
Total entrance ticket cost=Total cost−Total tube rental costTotal\, entrance\, ticket\, cost = Total\, cost - Total\, tube\, rental\, cost

STEP 6

Plug in the values for the total cost and the total tube rental cost to calculate the total entrance ticket cost.
Total entrance ticket cost=$76−$24Total\, entrance\, ticket\, cost = \$76 - \$24

STEP 7

Calculate the total entrance ticket cost.
Total entrance ticket cost=$76−$24=$52Total\, entrance\, ticket\, cost = \$76 - \$24 = \$52

STEP 8

Now that we have the total entrance ticket cost for all4 people, we can divide this by the number of people to find the cost of an entrance ticket per person, denoted as cc.
c=Total entrance ticket cost/Number of peoplec = Total\, entrance\, ticket\, cost / Number\, of\, people

STEP 9

Plug in the values for the total entrance ticket cost and the number of people to calculate the cost of an entrance ticket per person.
c=$52/4c = \$52 /4

STEP 10

Calculate the cost of an entrance ticket per person.
c=$52/4=$13c = \$52 /4 = \$13The cost of an entrance ticket per person is $13.

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