Last month, John had a total of 60 articles- shirts, suits or ties- dry cleaned at a cost of $300. If dry cleaning costs $2.00 for each tie, $5.00 for each shirt and $6.50 for each suit, did John have more suits than shirts dry cleaned last month?
(1) John had more than 12 ties dry cleaned last month.
(2) John paid more than $150 to have his suits dry cleaned last month.
THIS IS A BIT LENGHTY( WAY OVER LESS THAN 2 MINUTES
FROM STEM
SH + S + T =60.........ONE
5SH+6.5S+2T = 300 TWO
MUTLIPLU TWO BY 2 AND ONE BY -4 AND ADD TOGETHER
6SH+9S = 360 THUS 2SH+3S = 120.............
FROM ONE
SH+S <=47
ASSUME THAT SH+S = 47 0R 46 OR 45 OR 44......
2SH+3S = 120
SH+S = 47
THUS S=26,SH = 21
IF SH+S = 46 THUS
S = 28 , SH = 19
IF SH+S = 45 THUS
S = 30 AND SH = 17..........ALWAYS S> SH....SUFF
FROM TWO
6.5 S > 150 THUS S > 23
IE COULD BE 24,25,26,27,.............AND IT CAN ONLY BE EVEN NUMBER
SO IT COULD BE (24,26,28,.....)
AND 2SH+3S = 120
THUS SH COULD BE (24 ,.......) THEY COULD BE EQUAL OR NOT
INSUFF
MY ANSWER IS A