Mr. waterman has $5, $10, and $25 gift certificates to
a local ice cream parlor. he would like to give each of
his nephews and nieces $55 worth of gift cerificates to
the ice cream parlor. if he wants to make sure that each
nephew and niece receives at least one of each type of gift
certificate, what is the difference between the maximum
number of $5 gift certificates and minimum number of $5
gift certificates that each child could receive?

The right answer minimum number of $5 cetificates that each nephews and nieces will get is 2 and maximum number of $5 certificates that each will get is 4.

Explanation:

The minimum number of $5 certificates that each nephews and nieces will get is 2 because he can add $25 + $10 = $35 , he has now capacity of $20 ($55 - $35) in which he can add one more $10 the he must have to add 2 of $5 certificates.

The Maximum number of $5 certificates he can give is 4 because again when he adds every certificate once he has capacity of $20 ( $55 - $25 - $10). He can now add 4 * $5 = $20 so he can get $55.

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