Question

Solve Quantity x plus 6 end quantity over 2x is equal to three-fourths. Show all work.

Answer 1

The expression described is translated into the following formula:

`(x+6)/(2x) = (3)/(4)`

Note that this implies that
`x \\eq 0`

Cross-multiply denominators to get rid of the fractions:

`4(x+6) = 3(2x)`

Expand both sides:

`4x+24 = 6x`

Subtract 4x from both sides:

`24 = 6x - 4x = 2x`

Divide both sides by 2:

`12 = x`

Check:

`(12+6)/(24) = (18)/(24) = (3)/(4)`

Which is true because

`18 \cdot 4= 24\cdot 3`

since both sides evaluate to 72