SOLUTION: Michael's bank contains only nichels,dimes, and quarters. There are 43 coins in all valued at $3.70. The number of nickels is 9 short of being three times the sum of the number of

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Question 359976: Michael's bank contains only nichels,dimes, and quarters. There are 43 coins in all valued at $3.70. The number of nickels is 9 short of being three times the sum of the number of dimes and quarters together.How many dimes are in the bank?
Answer by mananth(16946) About Me  (Show Source):
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Michael's bank contains only nichels,dimes, and quarters. There are 43 coins in all valued at $3.70. The number of nickels is 9 short of being three times the sum of the number of dimes and quarters together.How many dimes are in the bank?
..
let nickels be x
dimes & quarters together will be 43-x
...
x= 3(43-x)-9
x=129-3x-9
4x=120
/4
x=30 nickels = 150 cents
let dimes be y
quarters = 43-30-y
=10-y
370-150 = 220 cents
10y+25(13-y)=220
10y+325-25y=220
-15y=-105
y=7 dimes
quarters = 6
...
6*25+30*5+10*7= 370 cents
...
m.ananth@hotmail.ca