Home
Class 12
MATHS
Write the following sentences as equatio...

Write the following sentences as equations.
y is `25%` of what number?

Text Solution

AI Generated Solution

The correct Answer is:
To convert the sentence "y is 25% of what number?" into an equation, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Unknown**: - The sentence asks for "what number?" which indicates we need to define a variable for this unknown number. Let's denote this unknown number as \( x \). 2. **Translate the Percentage**: - The phrase "25% of \( x \)" can be expressed in mathematical terms. We know that 25% can be written as a fraction: \[ 25\% = \frac{25}{100} = 0.25 \] - Therefore, "25% of \( x \)" translates to \( 0.25 \times x \). 3. **Set Up the Equation**: - According to the sentence, \( y \) is equal to 25% of \( x \). This gives us the equation: \[ y = 0.25 \times x \] ### Final Equation: Thus, the equation that represents the sentence "y is 25% of what number?" is: \[ y = 0.25x \]
Promotional Banner

Similar Questions

Explore conceptually related problems

Write the following sentences as equations. x is 60% of y.

Write the following sentences as equations. 1//3 of a is b.

Find : 25% of Rs 7

Convert the following percentages to fractions and ratios: (i) 25% (ii) 2.5% (iii) 0.25% (iv) 0.3% (v) 125%

Find the following: (i) 6 is 30% of which number? (ii) 12 is 25% of which number?

6400 workers were employed to construct a factory in 4 years. A the end of the first year, 25% workers were retrenched. At the end of the second year, 25% of those working at that time were again retrenched. However, to complete the project in time, the number of workers was increased by 25% of the total number of workers left at the end of third year. How many workers were working during the fourth year ?

Which of the following fractions is equivalent to 25%? (a) 1/4 (b) 1/5 (c) 1/3 (d) 1/2

If your stock protfolio increased by 25% and then decreased by 20% , what percent of the original value would you new stock portfolio have?

It is desired to reduce the volume of 1000 cm of a gas by 25% . To what temperature the gas be cooled if the initial temperature is 125^@C and the pressure remains constant ?

At what height above the surface of the earth will the acceleration due to gravity be 25% of its value on the surface of the earth ? Assume that the radius of the earth is 6400 km .