Question

A board that is 12 meters long is cut into 2 pieces in the ratio 1:5. What is the length of the longer piece, in yards?The draw the area without lines

Answer 1

The board measures 12 meters in total, and the statement says that it must be cut in two parts and that one part is 5 times longer than the other, so to solve this, we will have that x is the measure of one part and 5x the measure of the longer part, but added together we know that they measure 12.

`12=x+5x`

Now, for x:

`\begin{gathered} 12m=6x \\ x=(12m)/(6)=2m \end{gathered}`

So one piece measures 2m and the longest piece measures 10m, now we will convert the measurement to yards:

`10m*(1.094yards)/(1m)=10.94yards`