The 2 triangles in the big triangle are similar so we can write
3x / 3x - 2 = 5x / 3x
9x^2 = 15x^2 - 10x
6x^2 - 10x = 0
x(6x - 10) = 0
x= 0 or 5/3
30 pencils multiplied by 1/6 is equal to 30/6. Reduce 30/6 to lowest term by dividing 30 by 6. The quotient of 30 and 6 is 5. Therefore, Jake used 1/6 or 5 pencils of the 30 pencils in a pack.
Simply divide your wire by 12 and cut off the excess (as it cannot make a full 12-inch section).
27
÷12=2
So you have two 12-inch sections and an additional 3.4-inch section.