Question

Solution need for prepare

Answer 1

.55x - .25x = 11.10

.30x = 11.10

x = 37

.75(37) = 27.75

Choice 1 is correct.

Answer 2

75% of the number is 27.75. Hence, option A is correct.

Let's denote the number as x. The given information can be expressed as an equation:

`\[55\% \, \text{of} \, x - 25\% \, \text{of} \, x = 11.10\]`

Translate the percentages into decimals:

`\[0.55x - 0.25x = 11.10\]`

Combine like terms:

0.3x = 11.10

Now, solve for x:

`\[x = (11.10)/(0.3)\]`

`\[x \approx 37\]`

Now that we know x, we can find 75% of that number:

`\[75\% \, \text{of} \, x = 0.75 * 37\]`

`\[75\% \, \text{of} \, x = 27.75\]`

Therefore, 75% of the number is 27.75. Hence, option A is correct.