Question

if the weight of 6 sheets of a paper is 162 grams, how many sheets of a same quantity of paper would weight 13.5kg?

Answer 1

weight of 6 sheets of a paper is 162 grams
weight of single sheet of paper is 162 / 6 = 27 grams
no. of sheets of paper would weight 13.5 kg is
13.5 kg / 27 gms
=13.5 ×1000 /27
=13500/27
=500
so 500 sheets of paper would weight 13.5 kg

Answer 2

Answer:

${\huge{\underline{\underline{\sf{\blue{Solution:-}}}}}}$

Let the number of sheets weighing 13.5 kg be x.

${\huge{\underline{\underline{\sf{\blue{Given:-}}}}}}$

• Number of sheets = 6 and x
• weight ( in kg ) = 0.162 and 13.5

Less the number of sheets, less is the weight.

This is a case of direct variation .

${\huge{\underline{\underline{\sf{\blue{So, :-}}}}}}$

$\frac{6}{0.162} = \frac{x}{13.5}$

$= > 6 \times 13.5 = 0.162 \times x$

$= > \: \: x = \frac{6 \times 13.5}{0.162} = 500$

Thus, the required number of sheets is 500.

${\huge{\underline{\underline{\sf{\blue{Alternate\: Method :-}}}}}}$

Number of sheets and weight of sheets (in g ) or number of sheets = k × ( weight of sheets ), where k is a positive constant .

Let us find the value of k.

${\huge{\underline{\underline{\sf{\blue{Given :-}}}}}}$

• 6 sheets weight 162 g .

${\huge{\underline{\underline{\sf{\blue{Therefore:-}}}}}}$

6 = k × 162

$= > \: k = \frac{6}{162} = \frac{1}{27}$

So , the number of sheets

$= ( \frac{1}{27} ) \times (13.5 \times 10000) \: \: \: \: [ \: 1kg \: 1000 \: g]</p><p></p><p>$

$= \frac{1}{27} \times 13.5 \times 1000$

$= \frac{1}{27} \times \frac{135}{10} \times 1000 = 500$