Question

Solve the equation and check your answer. 0.95 t plus 0.05 left parenthesis 100 minus t right parenthesis equals 0.49 left parenthesis 100 right parenthesis

Answer 1

Answer:

The value of t is:

                     t=48.8889

Step-by-step explanation:

We are asked to solve the linear equation in terms of variable t.

The equation is given by:

$0.95t+0.05(100-t)=0.49(100)$

Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:

$0.95t+0.05\times 100-0.05t=49$

Now we combine the like terms on the left side of equality by:

$0.95t-0.05t+5=49\\\\i.e.\\\\0.90t+5=49$

Now we subtract both side of the equation by 5 to get:

$0.90t=44$

Now on dividing both side of the equation by 0.90 we get:

$t=\dfrac{44}{0.90}\\\\i.e.\\\\t=48.8889$

Hence, the value of t is:   48.8889