Problema Solution

alec is climbing a 14 foot ladder where the rungs are 3/4 of a foot apart. there is one foot of space on each end of the ladder before the first and last rung. How many rungs are on the ladder that alec is climbing including the first and last one?

Answer provided by our tutors

let


x = the number of rungs on the ladder


1 ft of space on each end of the ladder before the first and last rung + the 3/4 ft space between the rest of the rungs = the total height of the ladder


1 + 1 + (x - 2)*(3/4) = 14


by solving we find


x = 18 rungs


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the ladder has 18 rungs.