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Mathematics Questions

a) ¿Cuánto es el número si tres cuartos de él valen 17? b) ¿Cuántos litros caben en la piscina si dos tercios equivalen a 75 litros?

Short Answer

To find the unknown number where three-fourths equals 17, we set up the equation (3/4) * x = 17. By isolating x, we calculate x = 17 * (4/3), resulting in an approximate value of 22.67.

Step-by-Step Solution

a) Find the Unknown Number

To start, we need to understand that we are looking for a number where three-fourths equals 17. This can be expressed as an equation where we represent the unknown with x, leading us to the equation: (3/4) * x = 17.

b) Set Up the Equation

Next, we will rearrange the equation to isolate x. We achieve this by multiplying both sides by the reciprocal of (3/4), which is (4/3). This will yield the equation: x = 17 * (4/3).

c) Calculate the Final Value

Finally, we perform the calculation to find x. When we multiply 17 by (4/3), we get approximately 22.67. Thus, the unknown number is approximately 22.67.

Related Concepts

Unknown Number

Defining a specific number that we are trying to calculate or identify in a mathematical problem

Equation

An expression that shows the relationship between different quantities, often represented with variables and constants

Reciprocal

The inverse of a number, which for a fraction is obtained by swapping its numerator and denominator, used to isolate variables in equations.

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