Solve the equation17 (5)/(8) = .2(x + 15)

Question

Solve the equation
`17 (5)/(8) = .2(x + 15)`

Answer 1

Given

`17(5)/(8)=0.2(x+15)`

To solve for x.

Now,

It is given that,

`17(5)/(8)=0.2(x+15)`

Since

`\begin{gathered} 17(5)/(8)=(17*8+5)/(8) \\ =(141)/(8) \end{gathered}`

Then,

`\begin{gathered} 17(5)/(8)=0.2(x+15) \\ (141)/(8)=0.2(x+15) \\ 141=0.2*8(x+15) \\ 141=1.6x+24 \\ 1.6x=141-24 \\ 1.6x=117 \\ x=(117)/(1.6) \\ x=73(1)/(8) \end{gathered}`

Hence, the value of x is,

`73(1)/(8)`