Question

How many pieces of 10 5/16 inch bar can be cut from a stock 20 foot bar?

Answer 1

Answer:

23 pieces is your answer

Answer 2

Given,

Length of one piece = 10⁵/₁₆ inches

Length of bar = 20 foot

To find,

How many pieces can be cut from the bar?

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

First of all, we have to convert the given length of bar into inches unit.

Length of bar = 20 foot = 240 inches

Length of one piece = 10⁵/₁₆ = 165/16 inches

Number of pieces that can be obtained =

240 ÷ 165/16 = 240 × 16/165 = 3840/165 = 256/11 ≈ Quotient = 23 , Remainder = 3

11)256(23

22

_______

36

33

________

3

So, the value of quotient will be considered as the number of maximum possible pieces of given length.

Hence, 23 pieces can be obtained.