Question 697300: In a dart game, Isaiah can score either 5 points or 9 points. What is the largest score that Isaiah can never total? (That number is less than 45)
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This question makes no sense to me.
Found 3 solutions by josmiceli, Alan3354, MathTherapy:
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! Definitely confusing. It is hard to express in a few words
( as they did ) the idea of the problem.
Just think of the entire sequence of the counting numbers:
1,2,3,4,5,6,7,8,9,10,11,12, . . . etc.
Now you have to ask yourself " What scores can I NOT get
if I am limited to either a 5 or a 9, and I have to add up the
5's and 9's for a game which may be as short or as long
as you can imagine.
A certain game may look like
5,5,9,9 = 28
5,9,9,9 = 32
5,5,5,5,9 = 29
Now I will try to write out ONLY those scores that are NOT
possible:
1,2,3,4,-,6,7,8,-,-,11,12,13,-,-,16,17,-,-,-,21,22,-,
-,-,26,-,-,-,-,31,-,-,34,-,-,37,38,39,-, -, -,
Notice that there are fewer and fewer score that are not possible.
The 42 score was 5,5,5,9,9,9 and
41 was 5,9,9,9,9.
Now you understand the problem. I don't know a systematic way to
solve it, though. Maybe 39 is the largest impossible score, and
maybe not. I'm sure someone else here can solve it.
Hope this helps.
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! largest score that Isaiah can never total? (That number is less than 45)
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Find the largest number from 1 to 45 that cannot be made by adding 5's and 9's
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= 31
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39 = 5*6 + 9
38 = 20 + 18
37 = 10 + 27
34 = 25 + 9
33 = 15 + 18
32 = 5 + 27
Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website!
In a dart game, Isaiah can score either 5 points or 9 points. What is the largest score that Isaiah can never total? (That number is less than 45)
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This question makes no sense to me.
From what I see, every other INTEGER-SCORE, from 32 to 44 is possible to make. Therefore,  points is the largest IMPOSSIBLE score below 45, or < 45 since no combination of 5-point scores, and 9-point scores sum to 31 points.
You can do the check!!
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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