Question

Debi has $1.65 in a collection of dimes and nickels the number of nickels is six more than the number of dimes find the number of each type of coin

Answer 1

Answer:

The number of dimes = 9

The number of nickels = 15

Step-by-step explanation:

The total value of all coins  = $1.65

Let us assume the number of dimes  = m

So, the number of nickels  = Number of dimes  + 6 = m +6

Now, 1 dime  = $0.1

So, m dimes  = m x ( $0.1)  =  0.1 m

Also, 1 nickel  = $0.05

So, (m +6) nickel  = (m+6) x ( $0.05)  =  0.05 m + 0.3

⇒ The value of m dimes  + (m+6) nickels

= 0.1 m + 0.05 m + 0.3 = 0.15  m + 0.3

Also, the total value of coins is given as: $1.65

⇒  0.15 m + 0.3  =  1.65

or, 0.15 m = 1.35

or, m = 1.35/0.15 =  9

or, m = 9

Hence, the number of dimes = 9

And the number of nickels = m + 6 = 9 + 6 =15