Can anyone explain me this question. Please
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Answer:
\textsf{Let the Number of 4 - Year Old Children in the Kindergarten be : P}Let the Number of 4 - Year Old Children in the Kindergarten be : P
\textsf{Let the Number of 5 - Year Old Children in the Kindergarten be : Q}Let the Number of 5 - Year Old Children in the Kindergarten be : Q
\textsf{Given : Number of Sweets given by Teacher to each 4 - Year Old Child = 2}Given : Number of Sweets given by Teacher to each 4 - Year Old Child = 2
\implies \mathsf{Total\;Number\;of\;Sweets\;received\;by\;4 - Year\;Old\;Children = (2 \times P)}⟹TotalNumberofSweetsreceivedby4−YearOldChildren=(2×P)
\textsf{Given : Number of Sweets given by Teacher to each 5 - Year Old Child = 3}Given : Number of Sweets given by Teacher to each 5 - Year Old Child = 3
\implies \mathsf{Total\;Number\;of\;Sweets\;received\;by\;5 - Year\;Old\;Children = (3 \times Q)}⟹TotalNumberofSweetsreceivedby5−YearOldChildren=(3×Q)
\textsf{Given : 5 - year old children received 6 More sweets than 4 - year old children}Given : 5 - year old children received 6 More sweets than 4 - year old children
\implies \mathsf{3Q = 2P + 6\;-----\;[1]}⟹3Q=2P+6−−−−−[1]
\textsf{Given : The Teacher gave a Total of 114 Sweets to all the Children}Given : The Teacher gave a Total of 114 Sweets to all the Children
\implies \mathsf{2P + 3Q = 114\;-----\;[2]}⟹2P+3Q=114−−−−−[2]
\textsf{Substituting Equation [1] in Equation [2], We get :}Substituting Equation [1] in Equation [2], We get :
\implies \textsf{2P + 2P + 6 = 114}⟹2P + 2P + 6 = 114
\implies \textsf{4P = 114 - 6}⟹4P = 114 - 6
\implies \textsf{4P = 108}⟹4P = 108
\implies \textsf{P = 27}⟹P = 27
\textsf{Substituting P = 27 in Equation [1], We get :}Substituting P = 27 in Equation [1], We get :
\implies \textsf{3Q = 2(27) + 6}⟹3Q = 2(27) + 6
\implies \textsf{3Q = 54 + 6}⟹3Q = 54 + 6
\implies \textsf{3Q = 60}⟹3Q = 60
\implies \textsf{Q = 20}⟹Q = 20
\implies \textsf{Number of 4 - Year Old Children in the Kindergarten = 27}⟹Number of 4 - Year Old Children in the Kindergarten = 27
\implies \textsf{Number of 5 - Year Old Children in the Kindergarten = 20}⟹Number of 5 - Year Old Children in the Kindergarten = 20
\implies \textsf{Total Number of Children in the Kindergarten = (27 + 20)}⟹Total Number of Children in the Kindergarten = (27 + 20)
\underline{\bf{Answer}} : \textsf{The Total Number of Children in the Kindergarten = 47}
Answer
:The Total Number of Children in the Kindergarten = 47
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