document.write( "Question 1153591: you have $2.75 in quarters and dimes however your sister who has $6 as two times as many quarters and three times as many dimes how many total points do the two of you have \n" ); document.write( "
Algebra.Com's Answer #775852 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "You have q quarters and d dimes; the total value in cents is 25(q)+10(d) = 275.

\n" ); document.write( "Your sister has 2q quarters and 3d dimes; the total value is 25(2q)+10(3d) = 600.

\n" ); document.write( "\"25q%2B10d+=+275\"
\n" ); document.write( "\"50q%2B30d+=+600\"

\n" ); document.write( "Multiply the first equation by 2 (i.e., double what you have):

\n" ); document.write( "\"50q%2B20d+=+550\"

\n" ); document.write( "Subtract this equation from your sister's equation (i.e., compare what you now have to what your sister has):

\n" ); document.write( "\"10d+=+50\"
\n" ); document.write( "\"d+=+5\"

\n" ); document.write( "Substitute d=5 in the equation for what you have to solve for q (i.e., knowing that your total is 275 cents and that the number of dimes you have is 5, determine the number of quarters you have):

\n" ); document.write( "\"25q%2B10%285%29+=+275\"
\n" ); document.write( "\"25q+=+225\"
\n" ); document.write( "\"q+=+225%2F25+=+9\"

\n" ); document.write( "The number of quarters you have is 9.

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\n" ); document.write( "I have done as much as I can with the information you gave.

\n" ); document.write( "But I don't know what \"the answer\" is, because you didn't ask a question....

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