Question

kyle has a total of 16 coins in his pocket. all the coins are nickels or quarters, and they have a total value of $2.20. how many nickels does kyle have?

Answer 1

7 quarters and 9 nickels

Answer 2

Answer:

The number of nickels are 9.

Step-by-step explanation:

Let us assume that the number of the nickels be n.

Let us assume that the number of the quarters be q.

As given

kyle has a total of 16 coins in his pocket.

Than the equation becomes

n + q = 16

As given

They have a total value of $2.20.

As

1 nickel = 0.05 dollars

1 quarters = 0.25 dollars

Than the equation becomes

0.05n + 0.25q = 2.20

As simplify the above

5n + 25q = 220

Than the equation becomes

n + q = 16 and 5n + 25q = 220

Multiply n + q = 16 by 5 and subtracted from 5n + 25q = 220 .

5n - 5n + 25q - 5q = 220 - 80

20q = 140

$q = \frac{140}{20}$

q = 7

Put in the equation n + q = 16 .

n + 7 = 16

n =  16 - 7

n = 9

Therefore the number of nickels are 9.