Question

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

Answer 1

Answer:9 nickels and 19 dimes.

Explanation:

Let
`n` be the number of nickels Kay has.

Let
`d` be the number of dimes Kay has.

Value of
`1` nickel is $
`0.05`

Value of
`n` nickels is $
`0.05n`

Value of
`1` dime is $
`0.1`

Value of
`d` nickels is $
`0.1dn`

Given that Kay has a total of
`28` coins.

So,
`n+d=28` ...(i)

Given that Kay has a total value of $
`2.35`

So,
`0.05n+0.1d=2.35` ...(ii)

Using (i) and (ii),

`0.05n+0.1(28-n)=2.35\\0.05n+2.8-0.1n=2.35\\2.8-2.35=0.05n\\0.45=0.05n\\n=9`

`d=28-n=28-9=19`