A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 55 bills having a combined monetary value of ​$199. Find the number of bills of each denomination that he has. PLEASE HELP ME

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Answer

39 bills of 1$

16 bills of 10$

Step-by-step explanation:

x-nr of $1

y-nr of $10

x*1+y*10=199

x+y=55 , x=55-y

so  I use the substitution method

(55-y)*1+10y=199

55+10y-y=199

-55            -55

9y=144

y=144/9

y=16

so x=55-16

     x=39

verify 16*10+39*1=160+39=199

Answer:

16 $10 bills, 39 $1 bill

Step-by-step explanation:

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