Question

150% ×_____ = $6.75 ​find the unknown

Answer 1

The answer is $4.50.

Explanation:

To solve this problem, divide the result ($6.75) by the percentage (150%). This gives you the original number which was multiplied by the percentage. So,

$6.75 / 150% = $4.50.

Answer 2

$4.50

Explanation:

150% × □ = $6.75

First, we can rewrite 150% as the fraction 3/2.

`(3)/(2) * \square = \$ 6.75`

Then, we can also rewrite 6.75 as the fraction 27/4.

`(3)/(2) * \square = \$ \, (27)/(4)`

Next, we can isolate the unknown by multiplying both sides by 2/3 (the reciprocal of 3/2).

`\left((2)/(3) \right)\left((3)/(2) * \square \right) = \left(\$ \, (27)/(4)\right)\left((2)/(3) \right)`

After that, simplify by multiplying out the numerators and denominators on the right side of the equation.

`\square = \$ \, (27 * 2)/(4 * 3)`

`\square = \$ \, (54)/(12)`

Finally, simplify the expression on the right side to a decimal form.

`\square = \$ \, (54 / 2)/(12 / 2)`

`\square = \$ \, (27 / 3)/(6 / 3)`

`\square = \$ \, (9)/(2)`

`\square = \$ 4.50`