SOLUTION: Problem solving using chart: Question: The Eiffel tower is 497 ft. taller than the Washington monument. If each of the monuments were 58ft. shorter, the eiffel tower would be twice

Algebra ->  Expressions-with-variables -> SOLUTION: Problem solving using chart: Question: The Eiffel tower is 497 ft. taller than the Washington monument. If each of the monuments were 58ft. shorter, the eiffel tower would be twice      Log On


   

Question 106136This question is from textbook Algebra:Structure and Method
: Problem solving using chart: Question: The Eiffel tower is 497 ft. taller than the Washington monument. If each of the monuments were 58ft. shorter, the eiffel tower would be twice as tall as the Washington monument. How tall is each? This question is from textbook Algebra:Structure and Method

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=height of Washington Monument: (x-58)----58 ft shorter
Then x+497=height of Eiffel Tower: ((x+497)-58)---------58 ft shorter
Now we are told that:
((x+497)-58)=2(x-58) get rid of parens
x+497-58=2x-116 simplify
x+439=2x-116 add 116 to and subtract x from both sides
x-x+439+116=2x-x-116-116 collect like terms
555=x or
x=555 ft--------------------------height of Washington Monument
x+497=555+497=1052 ft---------- height of Eiffel Tower
CK
1052-58=2*(555-58)
994=2*497
994=994

Hope this helps-----ptaylor