Becky has quarters dimes and nickels in her pocket the value of her money is $2.25 there are two more nickels than dimes and there are a total of 19 coins. how many dimes does becky have?

Becky has 8 nickels, 6 dimes and 5 quarters in her pocket.

Step-by-step explanation:

Let Number of nickels be 'n'

Let Number of dimes be 'd'.

Also Number of quarters be 'q'.

Given: there are two more nickels than dimes

hence

Now Given:

Total Number of Coins = 19

So the equation can be framed as;

Also Given:

Total Amount in pocket = $2.25

Now we know that;

1 nickel = $0.05

1 dime = $0.1

1 quarter =$0.25

So the equation can be framed as;

Now Multiplying equation 2 by 4 we get;

Now Subtracting equation 3 from equation 1 we get;

Now Substituting the value of d in equation 1 we get;

Also;

Hence Becky has 8 nickels, 6 dimes and 5 quarters in her pocket.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2