Question

The weight of a dozen sheets of thin cardboard is 40 g. how many sheets of the same cardboard would weigh 1/ 1/ 4 kg​

Answer 1

Answer:

The required number of sheets is $375$.

Step-by-step explanation:

Measurement:

Measurement is a method that involves comparing an object's characteristics to a reference value to ascertain its attributes.

Weight:

Grams, kilograms, tonnes, and other units are used to express the weight of various items.

Given: A given the weight of $12$ sheets is $40$ grams

To find: The objective is to find the number of sheets.

The weight of each sheet is

$\frac{40}{12} \\=\frac{10}{3} g$

Let the number of sheets that weight $1\frac{1}{4} kg$ is $x$

as we are aware

weight of $x$ sheets is

$\frac{10}{3} x grams\\\frac{10}{3} x=1\frac{1}{4}$×$1000$

$x=\frac{3}{10}$ ×$\frac{5}{4}$ × $1000$

$x=375$

Therefore, the number of sheets is $375$

#SPJ3

Answer 2

Answer:

We require 375 sheets of cardboard that weigh 5/4 Kg.

Step-by-step explanation:

Given,

Weight of 12 sheets is 40 g

So, the weight of one sheet is:

 $\frac{40}{12} = \frac{10}{3}grams$

Let the number of sheets that weigh  $1\frac{1}{4} Kg$ be "x"

To find,

The number of sheets (x)

Now if one sheet weighs 10/3 grams then "x" sheets weigh 10x/3 grams

And as per the question:

$\frac{10x}{3} grams = 1\frac{1}{4} \times1000 grams$

$\implies\frac{10x}{3} = \frac{5}{4} \times1000\\\implies\frac{10x}{3} = 1250\\\implies x = \frac{3}{10} \times 1250 \\\implies x = 375$

Therefore, we require 375 sheets of cardboard that weigh 5/4 Kg.

#SPJ1