Question

5. Eight times the difference of twice a number and one, decreased by 4 times a number,equals 48.

Answer 1

Eight times means the product of eight by something, the something would be the diference between twice a number (x) and one, therefore the first part is:

`8\cdot(2x\text{ - 1)}`

The second part says that the first part is decreased by 4 times a number (x) and that all of it is equal to 48, therefore:

`8\cdot(2x\text{ -1) - 4}\cdot x\text{ = 48}`

We can now solve for "x".

`\begin{gathered} 16x\text{ -8 -4x = 48} \\ 12x\text{ = 48 + 8} \\ 12x\text{ = 56} \\ x\text{ = }(56)/(12)\text{ = }(14)/(3) \end{gathered}`

The number is 14/3 or 4.67