Question

A mixture contains salt and sugar in the ratio of 2: 5. If the mixture contains 4.2g of salt, then what is the total mass of the mixture?​

Answer 1

Answer:

14.2gm

Explanation:

Given ratio of mixture of salt and sugar is 2 : 5.

Also, the mixture contains 4.2g of salt.

Find the total mass of the mixture.

Let's assume the common ratio as $\boldsymbol x$

Then,

• Amount of salt = $\boldsymbol {2x}$
• Amount of sugar = $\boldsymbol {5x}$

According to the question,

$\implies \: 2x = 4.2$

$\implies \: x = \dfrac{4.2}{2}$

$\implies \: x = 2.1$

∴ Amount of sugar is :-

$= 5x$

$= 5(2.1)$

$= 10.5$

Henceforth, total mass of the mixture :-

= Amount of salt + amount of sugar

= 4.2 + 10.5

= 14.7g

__________________________

Answer 2

Answer:

Given :-

• A mixture contains salt and sugar in the ratio of 2 : 5.
• The mixture contains 4.2 g of salt.

To Find :-

• What is the total mass of the mixture.

Solution :-

Let,

$\mapsto \bf Salt =\: 2a$

$\mapsto \bf Sugar =\: 5a$

According to the question :

$\bigstar$ The mixture contains 4.2 g of salt.

So,

$\implies \sf 4.2 =\: 2a$

$\implies \sf \dfrac{4.2}{2} =\: a$

$\implies \sf 2.1 =\: a$

$\implies \sf\bold{\pink{a =\: 2.1}}$

Hence, the required amount of salt and sugar are :

$\dag \: \: \sf\bold{\blue{Salt\: :-}}$

$\dashrightarrow \sf Salt =\: 2a$

$\dashrightarrow \sf Salt =\: 2(2.1)$

$\dashrightarrow \sf Salt =\: 2 \times 2.1$

$\dashrightarrow \sf\bold{\green{Salt =\: 4.2\: g}}$

$\dag \: \: \sf\bold{\blue{Sugar\: :-}}$

$\dashrightarrow \sf Sugar =\: 5a$

$\dashrightarrow \sf Sugar =\: 5(2.1)$

$\dashrightarrow \sf Sugar =\: 5 \times 2.1$

$\dashrightarrow \sf\bold{\green{Sugar =\: 10.5\: g}}$

Now, we have to find the total mass of the mixture :

$\small \longrightarrow \bf Total\: Mass =\: Total\: Salt + Total\: Sugar$

We have :

• Total Salt = 4.2 g
• Total Sugar = 10.5 g

So, by putting those values we get :

$\longrightarrow \sf Total\: Mass =\: 4.2\: g + 10.5\: g$

$\longrightarrow \sf\bold{\red{Total\: Mass =\: 14.7\: g}}$

$\small \sf\bold{\purple{\underline{\therefore\: The\: total\: mass\: of\: the\: mixture\: is\: 14.7\: g\: .}}}$

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