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
[tex]q = \frac{140}{20}[/tex]
q = 7
Put in the equation n + q = 16 .
n + 7 = 16
n = 16 - 7
n = 9
Therefore the number of nickels are 9.
