Math

QuestionAria starts with 80 points and earns 13.5 points per visit. How many visits does she need to reach 188 points?

Studdy Solution

STEP 1

Assumptions1. Aria starts with80 reward points. . She earns13.5 points for each visit to the movie theater.
3. She needs188 points for a free movie ticket.

STEP 2

First, we need to find out how many points Aria needs to earn from her visits. We can do this by subtracting the initial points she received for signing up from the total points needed for a free movie ticket.
Pointsneededfromvisits=TotalpointsneededInitialpointsPoints\, needed\, from\, visits = Total\, points\, needed - Initial\, points

STEP 3

Now, plug in the given values for the total points needed and the initial points to calculate the points needed from visits.
Pointsneededfromvisits=18880Points\, needed\, from\, visits =188 -80

STEP 4

Calculate the points needed from visits.
Pointsneededfromvisits=18880=108Points\, needed\, from\, visits =188 -80 =108

STEP 5

Now that we know how many points Aria needs to earn from her visits, we can find out how many visits she needs to make. We can do this by dividing the points needed from visits by the points earned per visit.
Numberofvisits=Pointsneededfromvisits/PointspervisitNumber\, of\, visits = Points\, needed\, from\, visits / Points\, per\, visit

STEP 6

Plug in the values for the points needed from visits and the points per visit to calculate the number of visits.
Numberofvisits=108/13.5Number\, of\, visits =108 /13.5

STEP 7

Calculate the number of visits. Since Aria can't make a fraction of a visit, we need to round up to the nearest whole number.
Numberofvisits=108/13.5=Number\, of\, visits =108 /13.5 =Aria needs to make visits to earn a free movie ticket.

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