A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?
5 feet
15 feet
27 feet
32 feet

Question

A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?
5 feet
15 feet
27 feet
32 feet

mehek14 · Answer

47 = 3x + (2+5x)
solve for x

mehek14 · Answer

nw substitute any value of the answer choices above and see which one is correct

mehek14 · Answer

lets start of by substituting 5 for x
47 = 3(5) + (2+5(5))
47 = 15 + (2 + 25)
47 = 15 + 27
47 = 47 
so the first answer choice is correct