Question 103838



Let the total height of a building and the flagpole on the roof be {{{A}}}, the height of building {{{x}}}, and the height of flagpole {{{y}}}. 

given:
 {{{A = 290ft}}} 
The building is {{{9}}} times as high as the flagpole.

then
{{{A = x + y}}}

since {{{x = 9y}}}

{{{290ft  = 9y + y}}}
{{{290ft  = 10y}}}
{{{y = 29ft}}}

now check:
 {{{x = 9*29}}}
{{{x = 261ft}}} and{{{y = 29ft}}}, so

{{{A = 261ft + 29ft}}}
{{{A = 290ft}}}