Question

What is the solution to w - 9 1/2 = 15
24 1/2
6 1/2
23 1/2
5 1/2​

Answer 1

`\huge\boxed{\bf\:w = (49)/(2) = 24(1)/(2) = 24.5}`

Explanation:

`w - 9 \frac { 1 } { 2 } = 15`

Multiply both the sides of the equation by 2.

`2w-\left(9* 2+1\right)=30 \\2w-\left(18+1\right)=30 \\2w-19=30`

Bring
`19` to the left hand side of the equation.

`2w=30+19 \\2w=49 \\\boxed{\bf\:w = (49)/(2) = 24(1)/(2) = 24.5}`

`\rule{150pt}{2pt}`

Answer 2

Option A

Explanation:

Convert mixed fraction to improper fraction.

`\sf w - 9(1)/(2)=15\\\\ w - (19)/(2)=15`

Now isolate 'w'

`\sf w = 15 +(19)/(2)\\\\= (15*2)/(1*2)+(19)/(2)\\\\=(30)/(2)+(19)/(2)\\\\=(30+19)/(2)\\\\=(49)/(2)\\\\= 24(1)/(2)`