Question

You have 31 coins consisting of nickels and

Answer 1

Answer:

There are 14 dimes and 17 nickels.

Step-by-step explanation:

Let x be number of nickels and let y be number of dimes.

Given that the total is $2.25 and there are 31 coins, we know that:

$0.05x +0.10y = 2.25$

$x+y = 31$

Solving for x yields:

$x=31-y$

We then proceed by plugging that back into the previous equation:

$0.05(31-y)+0.10y=2.25$

$1.55 - 0.05y +0.10y = 2.25$ --> Distribute

$1.55 +0.05y=2.25$ --> add y's together

$0.05y=0.7$ --> subtract 1.55

$y=14$ --> divide by 0.05

Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.