McCall has $14.00 in change, and he has only nickels, dimes and quarters. If McCall has the same number of each type of coin, how many dimes does McCall have?

one of each coin is worth 40 cents.

1400/40 = 35

So, 35 of each coin.

lets say 1400 is total, divided by 40, is 35, and he has the same number of each coin, so the answer is 35

Let's assume the number of each type of coin McCall has is 'x'.

Since McCall has the same number of each type of coin, the total value of nickels, dimes, and quarters in $ can be calculated as:

Total value of nickels = 5 cents * x
Total value of dimes = 10 cents * x
Total value of quarters = 25 cents * x

According to the given information, the total value of all the coins is $14.00. Hence, we can set up the equation:

(5 cents * x) + (10 cents * x) + (25 cents * x) = $14.00

Simplifying the equation:

5x + 10x + 25x = 1400 cents
40x = 1400
x = 1400 / 40
x = 35

Therefore, McCall has 35 dimes.

To determine the number of dimes McCall has, we can approach the problem systematically by breaking it down into steps:

Step 1: Determine the value of a nickel, a dime, and a quarter
- A nickel is worth $0.05
- A dime is worth $0.10
- A quarter is worth $0.25

Step 2: Determine the total value of McCall's change
- McCall has $14.00 in change

Step 3: Set up an equation to represent the relationship between the total value and the number of each coin
- Since McCall has the same number of each type of coin and we don't know the exact number, we can use variables:
- Let "n" represent the number of nickels McCall has
- Let "d" represent the number of dimes McCall has
- Let "q" represent the number of quarters McCall has

Step 4: Convert the variables into the values they represent
- The total value of nickels is n * $0.05
- The total value of dimes is d* $0.10
- The total value of quarters is q * $0.25

Step 5: Write an equation for the total value of McCall's change
- The total value can be represented as the sum of the values of each type of coin:
- n * $0.05 + d * $0.10 + q * $0.25 = $14.00

Step 6: Simplify the equation
- Since McCall has the same number of each type of coin, we can assume n = d = q
- Substitute n, d, and q with a single variable, let's say "x" for simplicity:
- x * $0.05 + x * $0.10 + x * $0.25 = $14.00

Step 7: Solve the equation for "x"
- Combine like terms on the left side of the equation:
- (0.05 + 0.10 + 0.25) * x = $14.00
- 0.40 * x = $14.00
- Divide both sides of the equation by 0.40 to isolate "x":
- x = $14.00 / 0.40
- Calculate the value of x:
- x ≈ 35

Step 8: Answer the question
- We have determined that "x" represents the number of each type of coin, and since we are interested in the number of dimes, the answer is:
- McCall has approximately 35 dimes.