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hi! kindly provide me solutions for this problem, thanks a lot!
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\n" ); document.write( "1) There is a large cookie jar filled with 45 cookies. If the cookies are distributed in a 2:3:4 ratio among three children, what is the greatest number of cookies that any one child receives?
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\n" ); document.write( "Let the ratio be in terms of x
\n" ); document.write( "2x+3x+4x=45
\n" ); document.write( "9x=45
\n" ); document.write( "x=5
\n" ); document.write( "greatest number of cookies=4x=4(5)=20 to the third child
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document.write( "2) Two boys and one girl evenly split one apple pie. If one boy gives ½ of his piece to the girl and the other boy gives ¾ of his piece to the girl, what fraction of the entire pie does the girl now have?
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document.write( "Let the pie be x
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document.write( "Then they evenly split the pie
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document.write( "hence 2 boys and 1 girl,each gets: (x/3)
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document.write( "one boy gives the girl 1/2 his portion: (x/3-1/2)=[(2x-3)/6]
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document.write( "the other gives 3/4th : (x/3-3/4)=[(4x-12)/12]
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document.write( "Now the girl has: (x/3)+both of the other portions
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document.write( "= portion of pie
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document.write( "3) 30 of a building’s windows have shades. If 2 of every 5 windows are shaded, then how many windows does the building have?
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document.write( "let the number of windows be x
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document.write( "out of x,30 have shades
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document.write( "now,out of 5,2 windows have shade
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document.write( "x:30=5:2
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document.write( "x=75 windows total
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document.write( "4) The sum of x and y is 10 times more than 3 times z. Which of the following equations describes the relationship between x, y, and z?
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document.write( "x+y=10(3z)
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document.write( "x+y=30z
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document.write( "5)A gas pump pumps x liters of gas every y minutes. If gas costs Pz a liter, and the pump automatically stops after dispensing gas for m minutes, how much does the dispensed gas cost?
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document.write( "Rate of pumping gas=No.of liters/No. of minutes
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document.write( "=x liters per y minutes
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document.write( "=(x/y)l/min
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document.write( "Number of minutes pumped=m
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document.write( "Therefore,number of ltrs dispensed=(x/y)*m
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document.write( "Cost of one ltr=Pz
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document.write( "Hence cost of dispensed litrs=Pz*(x/y)*m
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document.write( "Hope this helps,
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document.write( "Prabhat