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0.75(16−s)+0.5s

=
9

s
=

1 answer

To solve the equation \( 0.75(16 - s) + 0.5s = 9 \), let's simplify and solve for \( s \).

  1. Distribute \( 0.75 \) in the first term: \[ 0.75 \cdot 16 - 0.75s + 0.5s = 9 \]

    Which simplifies to: \[ 12 - 0.75s + 0.5s = 9 \]

  2. Combine the terms with \( s \): \[ 12 - 0.25s = 9 \]

  3. Subtract 12 from both sides: \[ -0.25s = 9 - 12 \] \[ -0.25s = -3 \]

  4. Divide both sides by -0.25: \[ s = \frac{-3}{-0.25} = 12 \]

Thus, the solution is: \[ s = 12 \]