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 twin 10 year old son's entrance fee's for 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 where 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 twin 10 year old son's entrance fee's for 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 where 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.

a:-25.00
b:-37.65
c:-75.25
d:-150.50

Answer 1

Let's denote the entrance fee for each child as x. Since each parent wrote a check for the entrance fee of their respective children, we can set up the following equations:

Mr. Herman: 1,540.30 - x = 1,615.55
Ms. Kaliski: 1,615.55 - 2x = 1,540.30

Solving the first equation, we get:
x = 1,540.30 - 1,615.55
x = -75.25

Substitute x back into the second equation:
1,615.55 - 2(-75.25) = 1,540.30
1,615.55 + 150.50 = 1,540.30

Therefore, Mr. Herman wrote a check for the entrance fee of $75.25 (debit of $75.25), which corresponds to option c.