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?
+128474 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
