jenbrdsly Posted October 31, 2013 Share Posted October 31, 2013 I'm changing the name so I'm not doing a copyright infringement, but otherwise, here goes: "Bob has 10 coins in his pocket (no silver dollars). He does not have exact change for a dollar, a half-dollar, a quarter, a dime, or a nickel. How much money does Bob have in his pocket?" ??? If it was asking for the most possible quantity, I could figure that out. Otherwise, I'm stuck. HELP PLEASE! P.S. This is from 3rd-5th grade homework, Continental Math League. Quote Link to comment Share on other sites More sharing options...
sarahj Posted October 31, 2013 Share Posted October 31, 2013 4 pennies 4 dimes one quarter one half-dollar Quote Link to comment Share on other sites More sharing options...
jenbrdsly Posted October 31, 2013 Author Share Posted October 31, 2013 How'd you do it Sarah? Quote Link to comment Share on other sites More sharing options...
regentrude Posted October 31, 2013 Share Posted October 31, 2013 I'm changing the name so I'm not doing a copyright infringement, but otherwise, here goes: "Bob has 10 coins in his pocket (no silver dollars). He does not have exact change for a dollar, a half-dollar, a quarter, a dime, or a nickel. How much money does Bob have in his pocket?" Let's see... No change for a nickel: if he has pennies, he can only have 4 pennies max. No change for a dime: if he has nickels, he can only have 1 nickel max. No change for a quarter: if he does have a nickel, he can not have two dimes; if he does not have a nickel, he can have however many dimes. No change for a half-dollar: if he has any dimes, he can only have 4 dimes max; if he has any quarters, he can only have 1 quarter max . No change for a dollar: he can only have 1 half-dollar max. If he has 1 half-dollar, he can only have 1 quarter max. If he does have 1 half-dollar: He can only have 1 quarter. He can have 4 dimes max. If he has 4 dimes, he may not have a nickel. He needs 4 more coins: 4 pennies. So he has $1.19. If he does not have a half-dollar, he can have 1 quarter, 4 dimes max (If he has more than 2 dimes, he can not have a nickel.) He needs 5 more coins, but that is not possible, since he can only have 4 pennies. Hope I made no mistake. Quote Link to comment Share on other sites More sharing options...
jenbrdsly Posted October 31, 2013 Author Share Posted October 31, 2013 Thanks! Quote Link to comment Share on other sites More sharing options...
sarahj Posted October 31, 2013 Share Posted October 31, 2013 Sorry I did not have time to type more earlier. I pretty much followed a process similar to regentrude's solution. Quote Link to comment Share on other sites More sharing options...
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