SOLUTION: someone please help and show me the steps:thank you so very much Joe has $39.17 in pennies and nickels. If he has 1585 coins in all, how many of each type does he have?

Question 503259: someone please help and show me the steps:thank you so very much
Joe has $39.17 in pennies and nickels. If he has 1585 coins in all, how many of each type does he have?
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
pennies x numbers
nickels y numbers

1 x + 1 y = 1585 .............1
1 x + 5 y = 39.17 .............2
Eliminate y
multiply (1)by -5
Multiply (2) by 1
-5 x -5 y = -7925
1 x 5 y = 3917
Add the two equations
-4 x = -4008
/ -4
x = 1002.00 OR 1002
plug value of x in (1)
1 x + 1 y = 1585
1002 + 1 y = 1585
1 y = 1585 -1002
1 y = 583
y = 583
pennies 1002 numbers
nickels 583 numbers

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of pennies he has
Let = number of nickels he has
given:
(1)
(2) ( in cents )
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
He has 1002 pennies and 583 nickels
check answer:
(2)
(2)
(2)
(2)
OK

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