SOLUTION: A set of children's blocks contains 3 shapes: Longs, flats & cubes There are 3 times as many longs as cubes and 30 fewer flats than longs. If there are 600 blocks in all, how many

Algebra ->  Functions -> SOLUTION: A set of children's blocks contains 3 shapes: Longs, flats & cubes There are 3 times as many longs as cubes and 30 fewer flats than longs. If there are 600 blocks in all, how many      Log On


   



Question 18346: A set of children's blocks contains 3 shapes: Longs, flats & cubes
There are 3 times as many longs as cubes and 30 fewer flats than longs. If there are 600 blocks in all, how many longs are there?

Answer by pwac(253) About Me  (Show Source):
You can put this solution on YOUR website!
let x=cubes
so 3x is amount of longs
and flats=3x-30
put these together to total 600
x+3x+3x-30=600
7x-30=600 add 30 to both sides
7x=630 divide both sides by 7
x=90
so number of longs =3x = 3 X 90=270
270 longs
Pete