Let the number of nickels Josh has be \( n \). Since Josh has twice as many quarters as nickels, the number of quarters he has will be \( 2n \).
Next, we will calculate the total value of the coins. The value of the nickels is \( 0.05n \) dollars and the value of the quarters is \( 0.25(2n) = 0.50n \) dollars.
The total value of all the coins can be expressed as: \[ 0.05n + 0.50n = 4.40 \] Combining the terms, we get: \[ 0.55n = 4.40 \]
Now, divide both sides by \( 0.55 \): \[ n = \frac{4.40}{0.55} = 8 \]
Now that we know \( n \) (the number of nickels), we can find the number of quarters: \[ 2n = 2 \times 8 = 16 \]
Thus, Josh has:
- Nickels: 8
- Quarters: 16
To summarize, Josh has 8 nickels and 16 quarters.
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