Question

Bob has 38 coins totaling $3.05.If he only has dimes and nickels,how many of each coin does he have?

How many dimes are in the collection?

How many nickels are in the collection?

Answer 1

Answer: 60 dimes one nickel

Explanation:

60 dimes equals 3 dollars and a nickel is 5cents both making 3.05$

Answer 2

15

Explanation:

5x + 5y = 190.

Now subtract this equation from the second equation to eliminate the y variable:

(10x + 5y) - (5x + 5y) = 305 - 190.

Simplifying the equation gives us:

5x = 115.

Dividing both sides of the equation by 5 gives us:

x = 23.

So Bob has 23 dimes.

To find the number of nickels, we can substitute the value of x into the first equation:

23 + y = 38.

Subtracting 23 from both sides gives us:

y = 38 - 23 = 15.

So Bob has 15 nickels.

In summary, Bob has 23 dimes and 15 nickels.