I have nineteen bills total which equal $215. Nine of those bills are in my pocket. The value of each bill is either $5 or $20. What is the maximum total dollar value in my pocket)
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Given : I have nineteen bills total which equal $215.
Nine of those bills are in my pocket.
The value of each bill is either $5 or $20.
To find : the maximum total dollar value in my pocket
Solution:
in Total :
$5 = x bills
$ 20 = 19 - x bills
5x + 20 (19 - x) = 215
=> x + 4(19 - x) = 43
=> 3x = 33
=> x = 11
Hence $5 = 11 bills and $20 = 8 bills
Nine of those bills are in my pocket
Hence 8 of $20 and 1 of $5 will give maximum total dollar value in my pocket
= 160 + 5
= 165 $
maximum total dollar value in my pocket = 165 $
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