Studdy AI Logo
Math

QuestionThere are 180 white lockers. If there are 3 white lockers for every 5 blue lockers, how many total lockers are there?

Studdy Solution

STEP 1

Assumptions1. The number of white lockers is180. . The ratio of white lockers to blue lockers is35.

STEP 2

First, we need to find the total ratio of white and blue lockers. We can do this by adding the ratio of white lockers to blue lockers.
Total ratio=Ratio of white lockers+Ratio of blue lockersTotal\, ratio = Ratio\, of\, white\, lockers + Ratio\, of\, blue\, lockers

STEP 3

Now, plug in the given values for the ratio of white lockers and blue lockers to calculate the total ratio.
Total ratio=3+5Total\, ratio =3 +5

STEP 4

Calculate the total ratio.
Total ratio=3+=8Total\, ratio =3 + =8

STEP 5

Now that we have the total ratio, we can find the number of blue lockers. This can be done by dividing the number of white lockers by the ratio of white lockers and then multiplying by the ratio of blue lockers.
Number of blue lockers=(Number of white lockers/Ratio of white lockers)timesRatio of blue lockersNumber\, of\, blue\, lockers = (Number\, of\, white\, lockers / Ratio\, of\, white\, lockers) \\times Ratio\, of\, blue\, lockers

STEP 6

Plug in the values for the number of white lockers, the ratio of white lockers, and the ratio of blue lockers to calculate the number of blue lockers.
Number of blue lockers=(180/3)times5Number\, of\, blue\, lockers = (180 /3) \\times5

STEP 7

Calculate the number of blue lockers.
Number of blue lockers=(180/3)times5=300Number\, of\, blue\, lockers = (180 /3) \\times5 =300

STEP 8

Now that we have the number of blue lockers, we can find the total number of lockers in the school. This can be done by adding the number of white lockers and the number of blue lockers.
Total number of lockers=Number of white lockers+Number of blue lockersTotal\, number\, of\, lockers = Number\, of\, white\, lockers + Number\, of\, blue\, lockers

STEP 9

Plug in the values for the number of white lockers and the number of blue lockers to calculate the total number of lockers.
Total number of lockers=180+300Total\, number\, of\, lockers =180 +300

STEP 10

Calculate the total number of lockers in the school.
Total number of lockers=180+300=480Total\, number\, of\, lockers =180 +300 =480There are480 lockers in the school.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord