Dave had some 50¢ coins. Wayne had some $1 coins. Dave gave 50% of his coins to Wayne and Wayne gave 50% of his coins to Dave. Wayne used some of the 50¢ coins to buy a book that cost $5. Dave used some of his $1 coins to buy a bag that cost $16. After that the ratio of the number of 50¢ coins to $1 coin Dave had was 1:2 and the number of 50¢ coins to the number of $1 coins Wayne had was 1:5. How much did Dave have at first?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Dave had some 50¢ coins. Wayne had some $1 coins. Dave gave 50% of
his coins to Wayne and Wayne gave 50% of his coins to Dave. Wayne used
some of the 50¢ coins to buy a book that cost $5. Dave used some of his $1
coins to buy a bag that cost $16. After that the ratio of the number of 50¢
coins to $1 coin Dave had was 1:2 and the number of 50¢ coins to the
number of $1 coins Wayne had was 1:5.
How much did Dave have at first?
Transcribed Image Text:Dave had some 50¢ coins. Wayne had some $1 coins. Dave gave 50% of his coins to Wayne and Wayne gave 50% of his coins to Dave. Wayne used some of the 50¢ coins to buy a book that cost $5. Dave used some of his $1 coins to buy a bag that cost $16. After that the ratio of the number of 50¢ coins to $1 coin Dave had was 1:2 and the number of 50¢ coins to the number of $1 coins Wayne had was 1:5. How much did Dave have at first?
Chester had 20 more stickers than Brian. Brian used
of his stickers and
3
Chester used of his stickers. In the end, Brian and Chester had the same
number of stickers left. How many stickers did they have altogether at first?
Transcribed Image Text:Chester had 20 more stickers than Brian. Brian used of his stickers and 3 Chester used of his stickers. In the end, Brian and Chester had the same number of stickers left. How many stickers did they have altogether at first?
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