Math, asked by gisselelawson81, 5 hours ago

a man shares his annual salary between his daughtrs ama and yaa in the ratio 2:3.lf amas share is ghc100.find (i)the amount shared ,(ii)

yaas share

Answers

Answered by Yuseong
20

Anѕwєr :

Total amount = GHC 250

Yaa's Share = GHC 150

Exρlαnαtion :

As per the provided informationin the given question, we have :

  • A man shares his annual salary between his daughters Ama and Yaa in the ratio 2:3.
  • Ama's share = GHC 100

We've been asked to calculate the amount shared and Yaa's share.

» Yaa's Share :

According to the question, the annual salary has been shared between Ama and Yaa in the ratio of 2:3. So, let's us assume the share of Ama be 2x and the share of Yaa be 3x.

Also, according tot he question, share of Ama is GHC 100. So, according to our assumption and the given information,

\dashrightarrow\quad \rm{ Ama's \; Share = 2x} \\

And,

\dashrightarrow\quad \rm{ Ama's \; Share = 100} \\

Combining both equations. We get that,

\dashrightarrow\quad \rm{ 2x = 100} \\

Transposing 2 from LHS to RHS in order to calculate the value of x. Its arithmetic operator will get changed.

\dashrightarrow\quad \rm{ x =\cancel{\dfrac{ 100}{2}} } \\

Now, cancelling the terms using division process. we have,

\dashrightarrow\quad\boxed{ \rm{ x = 50 }} \\

As we know that,

\dashrightarrow\quad \rm{ Yaa's \; Share = 3x} \\

Substitute the value of x which we have found above to calculate Yaa's share.

\dashrightarrow\quad \rm{ Yaa's \; Share = GHC\; 3(50)} \\

Performing multiplication.

\dashrightarrow\quad \underline{\boxed{ \bf{ Yaa's \; Share = GHC\; 150 } }}\\

» The Amount Shared :

\dashrightarrow\quad \rm{ Total \; amount = Share_{(Ama)} + Share_{(Yaa)} } \\

Now, substitute the values as per our assumption according to the provided information.

\dashrightarrow\quad \rm{ Total \; amount = GHS\; (100 + 150) } \\

Performing addition in the RHS.

\dashrightarrow\quad \underline{\boxed{ \bf{ Total \; amount = GHC\; 250 } }}\\

Henceforth,

  • Total amount = GHC 250
  • Yaa's Share = GHC 150

\rule{200}

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