A number is divided by 12. When the quotient is multiplied by 15, the product is 270. What is the number? Tell how you found the answer.

Question

please show work for this problem Im trying to help my daughter do hr math homework. This is hard i havent been in school in a really long time so can someone please help us.

Answer 1

I:f we let x represent the unknown number, then we can represent the number divided by twelve in fraction form as : x/12

Then we can create an equation using this expression and multiplying by 15:

x/12 * 15 = 270

To solve this equation, we can multiply both sides of the equation by 12:

x/12 * 15 * 12 = 270 * 12

OR x* 15 = 3240

Then divide both sides by 15:

x * 15 / 15 = 3240 / 15

x = 216

The missing number is 216.

To check : 216 /12 is 18 and 18 * 15 = 270