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 $70?  Choose the correct choice from the following choices:	A) 4	B) 12	C) 15	D) 20	E) 24
you could set-up a quick table and brute force the answer.   A	4	*	50	200 1800	-200 1600	26 61.54   B	12	*	50	600 1800	-600 1200	18 66.67   15	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   Answer is 15
<result>C</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 $70?