# : A person bought clothes worth of \$71 in a store. He wants to pay cash at the counter with \$2 and \$5 bills he

: A person bought clothes worth of \$71 in a store. He wants to pay cash at the
counter with \$2 and \$5 bills he has. Model this problem as a linear diophantine equation and find
out how many different ways he can pay.
A positive integer is divisible by 5, but it leaves remainders of 1 and 7 (resp.)
when divided by 3 and 8 (resp.). Model this problem as a system of linear congruences and use
the Chinese Remainder Theorem to solve for the integer.

(550 words)

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