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Daisy has a jar full of nickels (xx) and quarters (yy). She has a total of 44 coins. The coins total to $7.00. Write the equations that represent this situation.

[Use decimals to represent that nickels are 0.05 and quarters are 0.25]
Answer
Attempt 1 out of 3

Equation representing the total number of coins:

Equation represents the total amount of money:

1 answer

Let's define the variables:

  • Let \( x \) represent the number of nickels.
  • Let \( y \) represent the number of quarters.

Equation representing the total number of coins:

Since Daisy has a total of 44 coins, we can write the first equation as:

\[ x + y = 44 \]

Equation representing the total amount of money:

The value of the nickels (at $0.05 each) plus the value of the quarters (at $0.25 each) totals to $7.00. This gives us the second equation:

\[ 0.05x + 0.25y = 7.00 \]

In summary, the equations are:

  1. \( x + y = 44 \)
  2. \( 0.05x + 0.25y = 7.00 \)