Question

0.25 (4f - 3) = 0.05 (10f - 9)

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

$0.\text{ 25 ( 4f-3) = 0. 05 ( 10 f - 9 )}$

Step 2:

The details of the solution are as follows:

$\begin{gathered} 0.\text{ 25 ( 4f - 3 ) = 0. 05 ( 10 f - 9 )} \\ f\text{ - 0.75 = 0. 5 f - 0.45} \\ \text{collecting like terms, we have that:} \\ f\text{ - 0. 5 f = -0. 45 + 0. 75} \\ 0\text{. 5 f = }0.\text{ 3} \\ \text{Divide both sides by 0. 5 , we have that:} \\ f\text{ = }\frac{0.\text{ 3}}{0.\text{ 5}} \\ f\text{ = 0. 6} \end{gathered}$

CONCLUSION:

$\text{The value of f = 0. 6}$