document.write( "Question 428561: If Mike gives Dolly 16 stamps, he will have the same number of stamps as she.
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document.write( "If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has will be 1:6.
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document.write( "How many stamps does Mike have at first?
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Algebra.Com's Answer #297972 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If Mike gives Dolly 16 stamps, he will have the same number of stamps as she. \n" ); document.write( "If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has will be 1:6.\r \n" ); document.write( "\n" ); document.write( "How many stamps does Mike have at first? \n" ); document.write( ": \n" ); document.write( "Let m = no. of stamps that Mike has at first \n" ); document.write( ": \n" ); document.write( "Let d = no. of stamps dolly has \n" ); document.write( ": \n" ); document.write( "\"If Mike gives Dolly 16 stamps, he will have the same number of stamps as she.\" \n" ); document.write( "m - 16 = d + 16 \n" ); document.write( "m = d + 16 + 16 \n" ); document.write( "m = d + 32 \n" ); document.write( ": \n" ); document.write( "\"If Dolly gives Mike 14 stamps, the ratio of the no. of stamps she has to the no. of stamps Mike has will be 1:6.\" \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "1(m+14) = 6(d-14) \n" ); document.write( "m + 14 = 6d - 84 \n" ); document.write( "m = 6d - 84 - 14 \n" ); document.write( "m = 6d - 98 \n" ); document.write( "Replace m with (d+32) (from the 1st statement) \n" ); document.write( "d + 32 = 6d - 98 \n" ); document.write( "32 + 98 = 6d - d \n" ); document.write( "130 = 5d \n" ); document.write( "d = \n" ); document.write( "d = 26 stamps \n" ); document.write( "then \n" ); document.write( "m = 32 + 26 \n" ); document.write( "m = 58 stamps Mike had originally \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that will check out \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |