Question

I have 175 cents in nickels and dimes. if all my coins were nickels, i would have had 145 cents. how many nickels and how many dimes do i have?

Answer 1

You have 23 nickels and 6 dimes.

Step-by-step explanation:

If all your coins were nickels, you would have had 145 cents. This means that the difference between the total amount of nickels and dimes you currently have is 175 - 145 = 30 cents. Now, let's assume that you have x nickels and y dimes. Since a nickel is worth 5 cents and a dime is worth 10 cents, we can set up the following equation:

5x + 10y = 175

Next, we can use the information that all the coins are nickels to set up another equation:

5(x + y) = 145

Simplifying this equation, we get:

x + y = 29

Now we have a system of equations that we can solve using substitution or elimination. Let's use substitution:

x = 29 - y

Plugging this value back into the first equation, we have:

5(29 - y) + 10y = 175

Expanding and simplifying, we get:

145 - 5y + 10y = 175

Combining like terms, we have:

5y = 30

Dividing both sides by 5, we get:

y = 6

Plugging this value back into x = 29 - y, we have:

x = 29 - 6 = 23

Therefore, you have 23 nickels and 6 dimes.