Question

Sandy cut a 151-centimeter board into five pieces. The three shortest pieces are the same length and the two longer pieces are each three centimeters longer than a short piece. How long is each piece?

Answer 1

Answer: The short piece is 29.6 cm long and 32.6 cm long.

Explanation:

Let x = length of short pieces , y = lengthof longer pieces.

y=x+3 (i)

As per given,

3x+2y=151 (ii)

Substitute value of y from (i) in (ii), we get

`3x+2(x+3)=151\\\\\Rightarrow\ 3x+2x+3=151\\\\\Rightarrow\ 5x=148\\\\\Rightarrow\ x=(148)/(5)=29.6`

Put value of in (i), we get

y=29.6+3= 32.6

Hence, the short piece is 29.6 cm long and 32.6 cm long.