SOLUTION: When Lyle goes to the grocery store, he always leaves with 4, 5, or 6 bags of groceries. Each bag always weighs between 1 and 7 pounds. What is the difference between Lyle�s hea

Question 219517:
When Lyle goes to the grocery store, he always leaves with 4, 5, or 6 bags of groceries. Each bag always weighs between 1 and 7 pounds. What is the difference between Lyle�s heaviest possible grocery purchase and his lightest possible grocery purchase?
The answer I got is 42...I know it's incorrect...help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Worst Case (ie heaviest load): He leaves with 6 bags (the most he carries) that are 7 pounds each (the heaviest they get). How much do they weigh total? They weigh pounds total.

Now compare this to the best case...

Best Case (lightest load possible): He leaves with 4 bags (the smallest amount he carries) weighing 1 pound each (the lightest they get). In total, they weigh 4*1=4 pounds.

The difference between the heaviest and the lightest is then: 42-4=38

So the difference between Lyle�s heaviest possible grocery purchase and his lightest possible grocery purchase is 38 pounds.
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