Question

The average mass of a duck and a chicken is 4 kg. The duck is 1.2 kg heavier than the chicken. Find the mass of the duck. Please give a step by step explanation. Who gives correct answer first will be marked brainliest

Answer 1

Answer:

Ducks destined for the whole duck market are grown to a live weight of 2.85kg. Under commercial conditions in Australia this takes ...

Step-by-step explanation:

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Answer 2

$\huge\boxed{\underline{\red{\tt solution}}}$

$\rm let\:the \:mass\:of\:duck\:be\:x$

$\rm by \:condition\:1,$

the mass of chicken is 1.2 kg more than duck.

in equation form it would be:

$\tt mass \:of\:chicken=x+1.2$

__________________________

how to calculate average?

$\rm we\:know\:that$

$\boxed{\blue{\tt average\:mass=\dfrac{mass^1+mass^2}{2}}}$

$\mathfrak {substituting\:values}$

$\tt 4 = \dfrac{x+x+1.2}{2}$

$\tt 4×2 = 2x+1.2$

$\tt 8-1.2 = 2x$

$\tt 6.8 =2x$

$\boxed{\tt 3.4=x }$

so, the mass of duck is x = 3.4 kg

whereas, the mass of chicken = x+1.2 = 4.6 kg

hope this helps!