Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each coin does he have?

And plz answer step by step

Respuesta :

Answer:

6.

Step-by-step explanation:

We can start by defining a couple things.

x = amount of nickels

y = amount of dimes

Since he has the same amount of each, we can say this.

x = y

And because we know it totals 0.90, we can say this.

0.05x + 0.10y = 0.90

then, we substitute and get this.

0.05x + 0.10x = 0.90

Simplify.

0.15x = 0.90

Divide both sides by 0.15.

x = 6

So we have 6 nickels, and they both are the same, so we have 6 dimes.