algebra 1
posted by carole on .
A piece of lumber which is 55 inches long is cut into two parts such that 2 times the larger part will be 12 more than 5 times the smaller part. How long are each of the pieces of lumber?

Just make symbols out of the words, sentence by sentence.
two parts: x and 55x
We can let x be the larger piece.
2x = 12 + 5(55x)
2x = 12 + 275  5x
7x = 287
x = 41
so, the pieces are 41" and 14"
check:
82 = 12 + 70 
6 = a/4 + 2
Is the answer 16? That's what i got