What is the equation that expresses one-half of a certain number #n# is 95?

Question

6997 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-07T12:53:37

#95=1/2n larr" equation"#

For this to work the actual value of #n# is #190#

#color(green)("Solved by thinking it out")#

Given that:#" "95=1/2n#

If half a number is 95 then the number must be two lots of 95.

That is: #95+95 = 190#

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(green)("Solved by using algebra")#

Given that:#" "95=1/2n#

Determine the value of #n#

Multiply both sides by #color(blue)(2)#

#color(brown)(color(blue)(2xx)95 =color(blue)(2xx)1/2xxn)#

#color(brown)(color(blue)2xx95 =(color(blue)(2))/2xxn)#

But #2/2=1# giving:

#190=1xxn#

#=> n=190#