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.

Step-by-step 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),

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

$d=28-n=28-9=19$