Jamie has $1.01 in nickels and pennies in his pocket. if he has a total of 25 coins, how many nickels and how many pennies does he have?

Let the number of nickels be n

Let the number of pennies be p

As total number of coins given are 25

so n + p = 25     --------(i)

1 nickle = $0.05

1 penny = $0.01

So putting in the values of nickle and penny we get

0.05 n + 0.01 p = 1.01     ------(ii)

From equation (i) we get

n = 25 - p

Putting the value of n in equation (ii)

0.05(25-p) + 0.01 p= 1.01

1.25 - 0.05p + 0.01p = 10.0

-0.04p = -0.24

p=

Hence p = 6

Now putting the value of p in equation (i)

n + 6 = 25

n = 19

So Jamie has a total of 19 nickles and 6 pennies.

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