SOLUTION: One-fourth of a bridge’s length lies on the land to the east of the river and one-sixth of the bridge’s length lies on the land to the west of the river. The river is 840 feet wid

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: One-fourth of a bridge’s length lies on the land to the east of the river and one-sixth of the bridge’s length lies on the land to the west of the river. The river is 840 feet wid      Log On


   

Question 1059335: One-fourth of a bridge’s length lies on the land to the east of the river and one-sixth of the bridge’s length lies on the land to the west of the river. The river is 840 feet wide. What is the total length of the bridge?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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One-fourth of a bridge’s length lies on the land to the east of the river and one-sixth of the bridge’s length
lies on the land to the west of the river. The river is 840 feet wide. What is the total length of the bridge?
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I see that solving single linear equation is too difficult for you.
OK, I will do everything from the beginning to the end. 

Let x be the length of the bridge.

Then the equation is


x+-+x%2F4+-+x%2F6 = 840.


%2812x+-+3x+-+2x%29%2F12 = 840,


%287x%29%2F12 = 840,


x = %28840%2A12%29%2F7 = 120*12 = 1440.

Answer. The bridge is 1440 ft long.