Question 1152061

let a number be {{{x}}}

one third of a number:{{{(1/3)x}}} 

added to four fifth of itself: {{{(4/5)x+(1/3)x}}} 

 is equal to seventeen:{{{(4/5)x+(1/3)x=17}}} 

find the number:

{{{(4/5)x+(1/3)x=17}}}......solve for {{{x}}}, start with common denominator for {{{5}}} and {{{3}}} which is {{{15}}}

{{{((4*3)/15)x+((1*5)/15)x=17}}}

{{{(12/15)x+(5/15)x=17}}}........both sides multiply by {{{15}}} to get rid of fraction

{{{15(12/15)x+15(5/15)x=17*15}}}

{{{cross(15)(12/cross(15))x+cross(15)(5/cross(15))x=17*15}}}

{{{12x+5x=17*15}}}

{{{17x=17*15}}}

{{{cross(17)x=15*cross(17)}}}

{{{x=15}}}