document.write( "Question 1205497: Danny had 880 cards in his collection. 25% of the cards were football cards and the rest were basketball cards.
\n" ); document.write( "(a) How many more basketball cards than football cards did he have in his collection?
\n" ); document.write( "(b) How many more football cards must Danny buy if he wanted to increase the number of football cards in his collection to 45%?
\n" ); document.write( "

Algebra.Com's Answer #842349 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "(a) 25% of the 880 cards were football cards, so 75% of them were basketball cards. The difference between 75% and 25% is 50%, so the difference between the number of basketball cards and the number of football cards was 50% of the total number of cards.

\n" ); document.write( "ANSWER: 50% of 880, or 440

\n" ); document.write( "OR....

\n" ); document.write( "25% of 880 is 220, so the number of football cards was 220 and the number of basketball cards was 880-220 = 660; the difference between 660 and 220 is 440.

\n" ); document.write( "ANSWER (again...!): 440

\n" ); document.write( "(b) Let x be the additional number of football cards. The number of football cards is now 220+x; the total number of cards is now 880+x.

\n" ); document.write( "Danny wants the total number of football cards to be 45% of the total number of cards:

\n" ); document.write( "\"%28220%2Bx%29%2F%28880%2Bx%29=0.45\"
\n" ); document.write( "\"0.45%28880%2Bx%29=220%2Bx\"
\n" ); document.write( "\"396%2B0.45x=220%2Bx\"
\n" ); document.write( "\"176=0.55x\"
\n" ); document.write( "\"x=176%2F0.55=320\"

\n" ); document.write( "ANSWER: 320

\n" ); document.write( "CHECK:
\n" ); document.write( "220+320 = 540
\n" ); document.write( "880+320 = 1200
\n" ); document.write( "540/1200 = 0.45

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