Determine the amount of money in a) dollar and in B) cents given d) dimes and q) quartz

To determine the amount of money based on the number of dimes (**d**) and quarters (**q**), we can use the following steps:

### Conversion rates:
- Each **dime** is worth **10 cents**.
- Each **quarter** is worth **25 cents**.

### Formula to calculate total value:
- **Total in cents** = \( 10 \times d + 25 \times q \)
- **Total in dollars** = \( \frac{10 \times d + 25 \times q}{100} \)

Now, let's express the values for both dollars and cents:

### a) Total in dollars:
\[
\text{Total in dollars} = \frac{10d + 25q}{100}
\]

### b) Total in cents:
\[
\text{Total in cents} = 10d + 25q
\]

For example:
- If you have **5 dimes (d = 5)** and **3 quarters (q = 3)**:
    - **Total in cents** = \( 10 \times 5 + 25 \times 3 = 50 + 75 = 125 \) cents.
    - **Total in dollars** = \( \frac{125}{100} = 1.25 \) dollars.

Would you like to use specific values for dimes and quarters, or would you like further details on the calculations?

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### Relative questions:
1. How many quarters and dimes make exactly 2 dollars?
2. What if we added nickels and pennies to the mix?
3. How would the formula change for different currencies, like euros?
4. How can you quickly convert a dollar amount into a coin combination?
5. What is the least number of coins to make 75 cents?

### Tip:
Always remember to double-check your units when switching between cents and dollars!

Determine the amount of money in a) dollars and b) cents given d) dimes and q) quarters.

Learn how to determine the total amount of money from dimes and quarters using simple arithmetic. This problem includes key formulas to calculate the total in dollars and cents, perfect for students in Grades 5-7.

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