the average mass of a duck and a chicken is 4kg. the duck is heavier than the chicken . find the mass of the duck
Answers
Answer:
\huge\boxed{\underline{\red{\tt solution}}}
solution
\rm let\:the \:mass\:of\:duck\:be\:xletthemassofduckbex
\rm by \:condition\:1,bycondition1,
the mass of chicken is 1.2 kg more than duck.
in equation form it would be:
\tt mass \:of\:chicken=x+1.2massofchicken=x+1.2
__________________________
how to calculate average?
\rm we\:know\:thatweknowthat
\boxed{\blue{\tt average\:mass=\dfrac{mass^1+mass^2}{2}}}
averagemass=
2
mass
1
+mass
2
\mathfrak {substituting\:values}substitutingvalues
\tt 4 = \dfrac{x+x+1.2}{2}4=
2
x+x+1.2
\tt 4×2 = 2x+1.24×2=2x+1.2
\tt 8-1.2 = 2x8−1.2=2x
\tt 6.8 =2x6.8=2x
\boxed{\tt 3.4=x }
3.4=x
so, the mass of duck is x = 3.4 kg
whereas, the mass of chicken = x+1.2 = 4.6 kg is the answer.
Step-by-step explanation:
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