Question

Translate and solve. 36 is 25% of what number?

   Translate and solve.
36 is 25% of what number?

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 6, Problem 107

Instant Answer

Solved by Expert Aneri Shah

04/04/2020

Step 1

We can write this as an equation: \[36 = 0.25x\] Show more…

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Translate and solve. 36 is 25% of what number?

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Key Concepts

Percentage

A percentage is a way of expressing a number as a fraction of 100, representing parts of a whole. In problems involving percentages, the given part of the whole is related to a total using the idea that a percentage indicates how many parts out of 100 are being considered.

Translating Word Problems into Equations

This concept involves converting verbal descriptions into algebraic equations. For example, when a problem states that a number is a certain percentage of an unknown value, it can be formulated as an equation where the percentage (expressed as a decimal or fraction) multiplies the unknown variable to equal the given amount.

Solving Linear Equations

Once the equation is established from the problem's description, solving it typically involves applying basic algebraic operations, such as multiplication or division, to isolate the unknown variable. This process of rearranging the equation while maintaining equality is fundamental for finding the solution to problems expressed in an algebraic form.

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