Maricella has a bag containing some nickels and quarters. The 25 coins the bag total $3.45. How many of many of the each coin are in the bag?

Answer 1

#11# quarter coins and #14# nickel coins were in the bag.

Value of 1 nickel coin is #5# cents Value of 1 quarter coin is #25# cents Value of #$1# is #100# cents Value of #$3.45# is #345# cents
Let the number of nikels be #n# and the number of quarters be #q# So #n+q=25#(1) #5n+25q=345#(2) multiplying eqn. (1) by 5 and then subtracting from eqn.(2) we get #5n+25q=345#(2) #5n+5q=125#(1) #20q =220 or q=11 ; n= 25-11=14#
#11#quarter coins and #14# nickel coins were in the bag.[Ans]
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Answer 2

Let's denote the number of nickels as ( n ) and the number of quarters as ( q ).

We can set up a system of equations based on the given information:

  1. The total number of coins is 25: ( n + q = 25 )
  2. The total value of the coins is $3.45: 0.05n + 0.25q = 3.45 )

Now, we can solve this system of equations simultaneously to find the values of ( n ) and ( q ).

From equation 1, we can express ( n ) in terms of ( q ): ( n = 25 - q ).

Substitute this expression for ( n ) into equation 2:

[ 0.05(25 - q) + 0.25q = 3.45 ]

Now, solve for ( q ):

[ 1.25 - 0.05q + 0.25q = 3.45 ] [ 0.20q = 2.20 ] [ q = 11 ]

Now that we have found the number of quarters (( q = 11 )), we can find the number of nickels using equation 1:

[ n + 11 = 25 ] [ n = 25 - 11 ] [ n = 14 ]

Therefore, there are 14 nickels and 11 quarters in the bag.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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