Question

2/3 of mass of lobster=3/8 of mass of crab,difference in their mass=7/10 kg,what is the weight of each

Answer 1

Answer:

Crab = 1.6kg Lobster = 0.9kg

Answer 2

The weight of lobster and crab is 0.9 kg and 1.6 kg.

Given - Compared mass and difference in mass

Find - Weight of lobster and crab

Solution - Let the mass of lobster be c and mass of crab be l. Relating the equation as mentioned in question.

$\frac{2}{3} l = \frac{3}{8} c$

Solving the above equation for value of x.

$l = \frac{3 \times 3}{8 \times 2} c$

Performing multiplication in both numerator and denominator

$l = \frac{9}{16} c$

As the above relation suggests, mass of crab is greater than lobster. So, representing mass with respect to crab.

$c = \frac{16}{9} l$

Now, representing the equation stating their difference.

$c - l \: = \frac{7}{10}$

Keeping the value of y in above equation. On solving, we will get the value of x, which is mass of lobster.

$\frac{16}{9} l - l = \frac{7}{10}$

Taking LCM, we get 9.

$\frac{16 - 9}{9} l = \frac{7}{10}$

Performing subtraction in numerator

$\frac{7}{9} l = \frac{7}{10}$

$l = \frac{7 \times 9}{7 \times 10}$

Cancelling 7 as it is common in numerator and denominator

Performing Division

$l = 0.9$ kg

So, mass of lobster is 0.9 kg

Mass of crab = $\frac{16}{9} \times 0.9$

Mass of crab = $16 \times 0.1$

Mass of crab = 1.6 kg

Hence, mass of crab and lobster is 1.6 kg and 0.9 kg respectively.

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