Question #769c2

2 Answers
Mar 27, 2017

The number is #30#. Seee xplanation.

Explanation:

If we denote the unknown number by #x#, the sentence leads to an equation:

#1/10xx x=3#

To solve this equation we have to multiply both sides by #10#:

#x=30#

Answer: The unknown number is #30#.

Mar 27, 2017

See the entire solution process below:

Explanation:

When dealing with fractions like this the word "of" means "times" or "to multiply".

Lets call the number we are looking for "n".

Putting this together we can write this equation and solve for #n# while keeping the equation balanced:

#1/10 xx n = 3#

#color(red)(10) xx 1/10 xx n = color(red)(10) xx 3#

#cancel(color(red)(10)) xx 1/color(red)(cancel(color(black)(10))) xx n = 30#

#1n = 30#

#n = 30#

1/10 of #color(red)(30)# is 3.