A board 12 inches long is cut into two pieces in the ratio 1:3. Find the length of each piece.

Answer 1

Total length is 12in. 1:3 ratio means one part is 3 times as large as the other. So the two sides are x and 3x. But we know together they are still 12in.

So our equation is:

12=x+3x

now we solve for x.

12=4x

12/4=x

3=x

so our two sides are 3 and 3*3=9

The answer is 3in and 9in. Don’t forget to include units!