QuestionThere are 180 white lockers and a ratio of 3:5 with blue lockers. Find the total number of lockers in the school.

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 out how many sets of lockers (each set consisting of white lockers and5 blue lockers) there are. We can do this by dividing the total number of white lockers by the number of white lockers in each set.
$\text{Number of sets} = \frac{\text{Total number of white lockers}}{\text{Number of white lockers in each set}}$

STEP 3

Now, plug in the given values for the total number of white lockers and the number of white lockers in each set to calculate the number of sets.
$\text{Number of sets} = \frac{180}{3}$

STEP 4

Calculate the number of sets.
$\text{Number of sets} = \frac{180}{3} =60$

STEP 5

Now that we have the number of sets, we can find the total number of lockers in the school. This includes both the white and blue lockers. We can do this by multiplying the number of sets by the total number of lockers in each set (3 white lockers +5 blue lockers).
$\text{Total number of lockers} = \text{Number of sets} \times (\text{Number of white lockers in each set} + \text{Number of blue lockers in each set})$

STEP 6

Plug in the values for the number of sets, the number of white lockers in each set, and the number of blue lockers in each set to calculate the total number of lockers.
$\text{Total number of lockers} =60 \times (3 +5)$

STEP 7

Calculate the total number of lockers in the school.
$\text{Total number of lockers} =60 \times (3 +5) =480$ There are480 lockers in the school.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms