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All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with three sacks of flour weigh no more than 40 pounds, and that the weight of a sack of flour is no more than 5 pounds more than the weight of two sacks of sugar. What is the largest possible weight (in pounds) of a sack of flour?

 

(i got 11 and it was wrong)

 Mar 6, 2020

3+0 Answers

 #1
avatar+24 
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I don't get it then. 11 works because 11*3 + 3*2 = 39. But 12 doesn't work because 12*3 + 2*2 =40. But 2*2+5 doesn't equal 12. Maybe 10 if the equation f <= 2S +5 is actually f < 2S +5. Is this your aops homework? Because I am doing geometry on aops, lol

 Mar 6, 2020
edited by inomath  Mar 6, 2020
 #2
avatar+33661 
+2

Perhaps you are assuming the weights have to be integers.  The question as stated doesn't specify this restriction.

Alan  Mar 6, 2020
 #3
avatar+37146 
+1

What about   f <= 11 1/4    lb

 Mar 6, 2020

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