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I need help on a story problem for algebra

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June has a set of folding chairs for her flute students. If she arranged them in 5 rows for a recital, she has 2 chairs left over. If she arranges them in 3 rows o the same length, she has 14 left over. How many chairs does she have left.

Oct 16th, 2017

Let us assume she has total x chairs. . & each row she is arranging y chairs.

hence 5 rows of y chair= x-2 

or we get  5y+2 =x .......1

Next  3y=x-14

or x =3y+14...   .......2

Eq 1 &2 we get


Or: 2y=12


Put y=6 in eq 1 we get

x= 5*6+2 =32

hence she has totally 32 chairs. 

Please ask if you have any doubts

Mar 18th, 2015

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