Question

There are 121 boxes of strawberries, each box containing at least 50 strawberries and at most 80 strawberries. If no five boxes have the same number of strawberries, what is the maximum
number of strawberries that can be present in all the boxes together?
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Answer 1

Given : There are 121 boxes of strawberries, each box containing at least 50 strawberries and at most 80 strawberries.   no five boxes have the same number of strawberries,  

To find : what is the maximum

number of strawberries that can be present in all the boxes together

Solution:

there are 121 Boxes

no 5  boxes have the same number of strawberries,

To have maximum strawberries

1 - 4  box with  80 Strawberries Each

5 - 8 box with 79 straw berries Each

117-120  box with 51 Strawberries Each

121 box  with 50 Straw beerries

Maximum Straw berries =  4(80 + 79 + ....................................+ 51) + 50

= 4 (30/2)(80 + 51)  + 50

= 60 * 131 + 50

= 7860 + 50

= 7910  

the maximum number of strawberries that can be present in all the boxes together = 7910  strawberries

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