Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $62.5? Choose the correct option:  A) 6  B) 12  C) 15  D) 20  E) 24
you could set-up a quick table and brute force the answer.   6	6	*	50	300 1800	-300	1500 24 62.50   B	16	*	50	600 1800	-600	1200 18 66.67   C	15	*	50	750 1800	-750	1050 15 70.00   D	20	*	50	1000 1800	-1000 800 10 80.00   E	24	*	50	1200 1800	-1200 600 6 100.00   6nswer is 6
<result>A</result>
Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $62.5?