Respuesta :

Answer:

Option A

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]\sf w - 9\dfrac{1}{2}=15\\\\ w - \dfrac{19}{2}=15[/tex]

Now isolate 'w'

[tex]\sf w = 15 +\dfrac{19}{2}\\\\= \dfrac{15*2}{1*2}+\dfrac{19}{2}\\\\=\dfrac{30}{2}+\dfrac{19}{2}\\\\=\dfrac{30+19}{2}\\\\=\dfrac{49}{2}\\\\= 24\dfrac{1}{2}[/tex]

Answer:

[tex]\huge\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]

Step-by-step explanation:

[tex]w - 9 \frac { 1 } { 2 } = 15[/tex]

Multiply both the sides of the equation by 2.

[tex]2w-\left(9\times 2+1\right)=30 \\2w-\left(18+1\right)=30 \\2w-19=30[/tex]

Bring [tex]19[/tex] to the left hand side of the equation.

[tex]2w=30+19 \\2w=49 \\\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

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