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x is # of nickels, y is # of pennies as stated in the problem he has "no less than 20 coins" so x + y must be greater than/equal to 20 their value is no more than $0.40 combined. the value of x nickels is 0.05x, same logic with pennies being 0.01y. so 0.05x + 0.01y is less than/equal to 0.40 write and graph both inequalities. then look for a point within both regions. since x and y represent coins, you can only look for positive integer values of x and y.
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