Mr. Herman wrote a check for his 10-year-old daughter's entrance fee to an amusement park. Ms. Kaliski wrote a check for her own twin 10-year-old son's entrance fees to the same park. the checking account starting balance was $1,540.30 for Mr. Herman and $1,615.55 for Ms. kaliski, but after they wrote their checks, their balances were the same. what amount did mr. Herman write in his checkbook for the entrance fee? remember that a debit is written as a negative number

Question

Mr. Herman wrote a check for his 10-year-old daughter's entrance fee to an amusement park. Ms. Kaliski wrote a check for her own twin 10-year-old son's entrance fees to the same park. the checking account starting balance was $1,540.30 for Mr. Herman and $1,615.55 for Ms. kaliski, but after they wrote their checks, their balances were the same. what amount did mr. Herman write in his checkbook for the entrance fee? remember that a debit is written as a negative number

Answer 1

Let's assume that Mr. Herman wrote a check for a negative amount x, representing the entrance fee.

Similarly, Ms. Kaliski wrote a check for a negative amount y, representing the entrance fee for her twin 10-year-old son.
After they wrote their checks, their balances were the same, so we can set up the equation:
Balance for Mr. Herman = Balance for Ms. Kaliski
($1540.30 - x) = ($1615.55 - y)

We know that the balances were the same, so we can simplify the equation:
1540.30 - x = 1615.55 - y

Since we know that the entrance fee for Mr. Herman's daughter and Ms. Kaliski's twin 10-year-old son is the same, we can also set up another equation:
x = y

Substituting this equation into the previous equation, we have:
1540.30 - x = 1615.55 - x

Rearranging this equation, we have:
x - x = 1615.55 - 1540.30
0 = 75.25

Since this equation is not possible (0 cannot be equal to a positive value), there is an error in the problem statement or calculation. Please check the given information again.