Question

27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.
a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet

Answer 1

The ratio 4:5> 4x+ 5x=35> 9x=35> x=3.8 and then you do (3.8)3.8=14.7. Therefore there is not a correct answer.

Answer 2

The length of the shorter piece is 15.55 feet.

Concept:

• Firstly, we will assume the ratio in which this tube is cut.
• Then, we will substitute the ratio  and solve for the lengths of the two pieces.

How to solve the given question?

• As the tube is cut into a ratio of 4:5, Let the length of the shorter piece be 4k and the longer piece be 5k.
• Total length of tube = 35 feet
  ∴ 4k + 5k = 35
  ∴ 9k = 35
  ∴ k = $\frac{35}{9}$
• The length of shorter tube piece = 4 k = 4 × $\frac{35}{9}$ = 15.55 feet.
  

Thus, the length of the shorter piece is 15.55 feet.

As none of the options matches the answer, all options are incorrect.

Learn more about Ratio & Proportion here:

https://brainly.com/question/12182733

#SPJ2