Question

How many pieces of $\dfrac{3}{2}$m each can be cut from a lace measuring 15m?

Answer 1

Hint: In this question a lace of 15m is given to us and we need to cut it into pieces of $\dfrac{3}{2}$m each. So initially let the number of total pieces be equal to some variable, and we know the length of each piece so using unitary method the pieces can be calculated for the overall length of lace.

Complete step-by-step answer:
Given data
Length of lace = 15 m
Now we have to find out the number of pieces of $\dfrac{3}{2}$ m each which is cut from the lace.
Therefore the length of one piece is $\dfrac{3}{2}$ m.
Let the number of pieces be x.
So the number of pieces which are cut from the lace is equal to the ratio of length of lace to the length of one piece.
$ \Rightarrow x = \dfrac{{{\text{length of lace}}}}{{{\text{length of one piece}}}} = \dfrac{{15}}{{\dfrac{3}{2}}}$
Now simplify the above equation we have,
$ \Rightarrow x = \dfrac{{15 \times 2}}{3} = 5 \times 2 = 10$
So the number of pieces cut from the lace are 10.
So this is the required answer.

Note: Whenever we face such types of problems the key concept is simply to have the understanding of the given information of the question. Unitary method can be implied to compute the number of pieces as eventually we are taking into consideration their lengths. This concept will help to get on the right track to reach the solution.