Three-eighths of a number, decreased by 1 , is 5 . Find the number. Seven diminished by \( \frac{1}{4} \) of a number

To solve this, let's take the first part: three-eighths of a number decreased by 1 equals 5. If we let the number be \( x \), we can set up the equation: \[ \frac{3}{8}x - 1 = 5 \] Adding 1 to both sides gives us: \[ \frac{3}{8}x = 6 \] Now, multiplying both sides by \( \frac{8}{3} \) helps us uncover \( x \): \[ x = 6 \times \frac{8}{3} = 16 \] So, the number is 16! Now, regarding the second part: we set up a similar approach for “seven diminished by \( \frac{1}{4} \) of a number.” If we let this number be \( y \), we write: \[ 7 - \frac{1}{4}y \] To get more information, if there's a conclusion or value you’re looking for, please let me know!