Question

You have 25 coins all of which are quarters, dimes, or nickels. If their total value is $3.30, how many quarters do you have?

Answer 1

25 coins of  quarters, dimes, or nickels having Value $3.30 can have Quarters from 6 to 10

Step-by-step explanation:

Value of  quarters = $ 0.25

Value of  dime =  $ 0.1

Value  or nickel = $ 0.05

Let say Quarter are  Q

Nickel = N

then Dime = 25 - Q - N

Value = 0.25 Q  + 0.05N  + 0.1(25 - Q - N) = 3.3

=> 25Q + 5N + 10(25 - Q - N) = 330

=> 15Q  - 5N = 80

=> Q  = 6  N = 2

    Q = 7   N = 5

    Q = 8   N = 8

   Q   = 9   N = 11

  Q = 10    N = 14

      Quarter           Dime       Nickle

            6                17             2              

            7                 13            5

            8                 9             8

            9                 5              11

            10                1               14

so Quarters Can be from 6 to 10