SOLUTION: Danny had 880 cards in his collection. 25% of the cards were football cards and the rest were basketball cards.
(a) How many more basketball cards than football cards did he have
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-> SOLUTION: Danny had 880 cards in his collection. 25% of the cards were football cards and the rest were basketball cards.
(a) How many more basketball cards than football cards did he have
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Question 1205497: Danny had 880 cards in his collection. 25% of the cards were football cards and the rest were basketball cards.
(a) How many more basketball cards than football cards did he have in his collection?
(b) How many more football cards must Danny buy if he wanted to increase the number of football cards in his collection to 45%? Answer by greenestamps(13200) (Show Source):
(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.
ANSWER: 50% of 880, or 440
OR....
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.
ANSWER (again...!): 440
(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.
Danny wants the total number of football cards to be 45% of the total number of cards:
