tonya has q quarters, d dimes a n nickels in her pocket.write a algebraicc expression that give the total amount of change she has in her pocket what the value of each coin

1 answer

To write an algebraic expression for the total amount of change Tonya has, we need to consider the value of each type of coin:

  • A quarter is worth $0.25.
  • A dime is worth $0.10.
  • A nickel is worth $0.05.

Given that she has \( q \) quarters, \( d \) dimes, and \( n \) nickels, we can express the total value of each type of coin as follows:

  • The total value of the quarters is \( 0.25q \).
  • The total value of the dimes is \( 0.10d \).
  • The total value of the nickels is \( 0.05n \).

Now, we can combine these values into a single algebraic expression to represent the total amount of change:

\[ \text{Total Amount} = 0.25q + 0.10d + 0.05n \]

This expression gives the total amount of change Tonya has in her pocket.