Question

The mass of a 3-month old baby is 6.08 kg. This is 190% of her mass at birth. Find the baby's mass at birth.​

Answer 1

Given :-

The mass of a 3-month old baby is 6.08 kg. This is 190% of her mass at birth.

To find :-

The baby's mass at birth.

Solution :-

Let the mass of the baby at her birth be X kg

The mass of the 3 months old baby

= 190% of her mass at birth

= 190% of X

= 190%×X

= (190/100)×X

= (19/10)×X

= 19X/10 kg

According to the given problem

The mass of the 3- months old baby = 6.08 kg

=> 19X/10 = 6.08

=> 19X = 6.08×10

=> 19X = 60.8

=> 19X = 608/10

=> X = 608/(19×10)

=> X = 608/190

=> X = 3.2 kg

Answer :-

The mass of the baby at her birth is 3.2 kg

Answer 2

Answer:

Question :-

• The mass of a 3-month old baby is 6.08 kg. This is 190% of her mass at birth. Find the baby's mass at birth.

Given :-

• The mass of a 3-month old baby is 6.08 kg.
• This is 190% of her mass at birth.

To Find :-

• What is the baby's mass at birth.

Solution :-

Let,

$\mapsto \bf Baby's\: Mass\: At\: Birth =\: x\: kg$

Now, according to the question :

$\bigstar$ The mass of a 3-month old baby is 6.08 kg. This is 190% of her mass at birth.

So,

$\implies \bf 6.08 =\: 190\%\: of\: her\: mass\: at\: birth$

$\implies \sf 6.08 =\: 190\% \times x$

$\implies \sf 6.08 =\: \dfrac{190}{100} \times x$

$\implies \sf 6.08 =\: \dfrac{190 \times x}{100}$

$\implies \sf 6.08 =\: \dfrac{190x}{100}$

By doing cross multiplication we get,

$\implies \sf 190x =\: 6.08(100)$

$\implies \sf 190x =\: 6.08 \times 100$

$\implies \sf 190x =\: 608$

$\implies \sf x =\: \dfrac{\cancel{608}}{\cancel{190}}$

$\implies \sf x =\: \dfrac{16}{5}$

$\implies \sf\bold{\purple{x =\: 3.2}}$

Hence, the required baby's mass at birth is :

$\dashrightarrow \sf Baby's\: Mass\: At\: Birth =\: x\: kg$

$\dashrightarrow \sf\boxed{\bold{\red{Baby's\: Mass\: At\: Birth =\: 3.2\: kg}}}$

$\therefore$ The baby's mass at birth is 3.2 kg .

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