SOLUTION: Dry Cleaners. Claudio, a banking vice-president, took 17 neckties to Milto Cleaners. The rate for non-silk ties is $3.25 per tie and for silk ties is $3.60 per tie. His total b

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Dry Cleaners. Claudio, a banking vice-president, took 17 neckties to Milto Cleaners. The rate for non-silk ties is $3.25 per tie and for silk ties is $3.60 per tie. His total b      Log On


   

Question 329272: Dry Cleaners. Claudio, a banking vice-president, took
17 neckties to Milto Cleaners. The rate for non-silk ties
is $3.25 per tie and for silk ties is $3.60 per tie. His total
bill was $58.75. How many silk ties did he have dry
cleaned?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let S be the number of silk ties, N the number of non-silk ties.
1.S%2BN=17
2.3.60S%2B3.25N=58.75
From eq. 1,
S=17-N
Subsitute into eq. 2,
3.6%2817-N%29%2B3.25N=58.75
61.2-3.6N%2B3.25N=58.75
-0.35N=-2.45
highlight%28N=7%29
From eq. 1,
S%2B7=10
highlight%28S=10%29