"> Word Problem 9 | Job Exam Rare Mathematics (JEMrare)

Word Problem 9

Problem 9: A glass full of milk weighs one kilogram and the glass half full of milk weighs 3/4 kilogram. What is the weight of glass ?

a. 1/4 kilogram   b. 1/3 kilogram    c. 1/8 kilogram     d. 1/2 kilogram

— general mathematics for kids  –

Solution:

Let weight of glass = y Kg

Weight of milk only (full glass) = z Kg

So, total weight when glass is full of milk = y+z Kg

But it is given that when glass is full of milk then it wieghs one kg i-e;

y+z =1 ---(1)

Now when glass is filled half with milk then ofcourse weight of milk =\frac{z}{2}kg

and total weight including glass =y+\frac{z}{2}kg

but it is given that when glass is filled half then weight is 3/4 kg, i-e;

y+\frac{z}{2}=\frac{3}{4}-----(2)

subtracting eq 2 from eq 1

\Rightarrow y+z -(y+\frac{z}{2})=1-(\frac{3}{4})

\Rightarrow \frac{z}{2}=\frac{1}{4}

\Rightarrow z=\frac{1}{2}

So, the weight of milk only (when glass is full) if half KG

But if we put this value of z in eq 1, we get;

y+z=1

\Rightarrow y+\frac{1}{2}=1

\Rightarrow y=\frac{1}{2}

So, weight of glass is also half kg


 

 

 

Leave a Reply

Your email address will not be published.

You may use these <abbr title="HyperText Markup Language">HTML</abbr> tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>