Math Problem Statement

Two-fifth of a certain number is 60. What is the number?

Solution

The problem states:
Two-fifths of a certain number is 60. What is the number?

Solution:

Let the unknown number be xx. The problem can be expressed as:
25x=60\frac{2}{5}x = 60

Step 1: Isolate xx

Multiply both sides by the reciprocal of 25\frac{2}{5}, which is 52\frac{5}{2}:
x=6052x = 60 \cdot \frac{5}{2}

Step 2: Perform the calculation

x=6052=3002=150x = \frac{60 \cdot 5}{2} = \frac{300}{2} = 150

Final Answer:

The number is 150.

Would you like a detailed breakdown of any step?


Related Questions:

  1. If three-fifths of a number is 90, what is the number?
  2. What is one-fourth of 150?
  3. How do you solve 78x=56\frac{7}{8}x = 56?
  4. If 35\frac{3}{5} of a number is 45, what is the full number?
  5. What fraction of 150 is 60?

Tip:

When solving fractional equations, always isolate the variable by multiplying by the reciprocal of the given fraction.

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Math Problem Analysis

Mathematical Concepts

Fractions
Algebra

Formulas

Fractional equation: (Part/Whole) * Number = Value

Theorems

Equation-solving principles

Suitable Grade Level

Grades 5-7