Question

The dressmaker measures a length of fabric as 600 m, correct to the nearest 5 meters. He cuts this into dress lengths of 9 m correct to the nearest meter.

Answer 1

Hint: Here we will first calculate the total length of the dress available and then find the number of dresses of 9m that can be cut from the total dress material.

Complete step-by-step answer:
It is given that:-
The length of fabric is 600 m correct to the nearest 5 meters.
Also, it is to be cut in dress lengths of 9 m correct to the nearest meter.
We will first calculate the total length of fabric.
As it is given that length of fabric is 600 m correct to the nearest 5 meters
Therefore, the total length of the fabric is \[ = 600 + 5\]
                                                                           \[ = 605m\]
Now we have to cut dress lengths of 9m nearest to one meter.
Therefore, length of one dress is \[ = 9 + 1\]
                                                            \[ = 10m\]
 hence we need to divide 605 by 10 in order to get the total number of dresses that can be cut from the fabric
Hence on dividing we get:-
\[{\text{total number of dresses}} = \dfrac{{605}}{{10}}\]
\[{\text{total number of dresses}} = 60.5\]
Now since we need the total number of complete dresses
Hence,
\[{\text{total number complete of dresses}} = 60\]

Therefore, there can be 60 complete dresses that can be cut from the total fabric.

Note: Students here might forget to add 5 to 600 and 1 to 9 which is given. If we do not add that 5 to 600 and 1 to 9 the resultant answer will be wrong.
Consider the length of fabric as 600m and length of dress as 9
then
No of dresses= $\dfrac{{600}}{{9}}$
No of dresses= $66.67$
So we got a variation of 7 dresses in our answer.
So do not forget to add the corrected meters before calculating.