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38 volunteers were given an equal number of brochures to give out. 6 of the volunteers only gave out 1/3 of their brochures. As a result, each of the remaining volunteers had to give out 21 more brochures. How many brochures were given to all his volunteers to give out?

 Apr 21, 2022
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Let the total number of  brochures given out by each volunteer =   x

 

So....the total brochures given out  = 38x 

 

6  volunteers  gave out only  1/3 of theirs......so the total number they gave out = 6 (1/3)x = 2x

 

So.....  38 - 6    = 32   gave out  x +  21

 

 

So

 

2x  + 32 ( x +  21 )  =   38x        simpify

 

2x + 32x +  672  =  38 x           rearrange as

 

34x  + 672  = 38x

 

672  =  38x -  34x

 

672  = 4x

 

672  / 4   = x  =  168

 

So.....the total  number given out =   38 (168)  = 6384

 

 

cool cool cool

 Apr 21, 2022
edited by CPhill  Apr 21, 2022

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