Create a verbal phrase to describe a real world Scenario of our everyday life and translate it into a mathematical Algebraic expression and solve.

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nuramaaji2000fh · Accepted Answer

Step 1My brother threw a house party for 50 people. He charged entry fees of $15 from each boy and $10 from each girl, he collected total amount of $640. Find out how many boys and how many girls attended the party?Solution:Lets take number of boys who attended the party is B.Number of girls who attended the party is G.Since total 50 people attended the party so,   B  +  G  =  50              (  1  )Step 2Now, money collected from B number of Boys   =      $    15  ×  B  =  15  BMoney collected from G number of Girls   =      $    10  ×  G  =  10  GStep 3As Total amount collected is $640, so  15  B  +  10  G  =  640  ⇒  3  B  +  2  G  =  128 (2)From equation (1)  B  =  50  −  G  (  3  )Put in equation (2)  ⇒  3  (  50  −  G  )  +  2  G  =  128  150  −  3  G  +  2  G  =  128  150  −  G  =  128  G  =  150  −  128  =  22Put value of G in equation (3)  ⇒  B  =  50  −  22  =  28Therefore, 28 boys and 22 girls attended

Create a verbal phrase to describe a real world Scenario of our everyday life and translate it into a mathematical Algebric expression and solve.

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