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

c:-75.25

Explanation:
Let x be the entrance fee for one child. Since Mr. Herman has one child, he wrote a check for -x. Ms. Kaliski has two children, so she wrote a check for -2x.

Given:
Mr. Herman's starting balance: 1540.30
Ms. Kaliski's starting balance: 1615.55

After deducting the entrance fees and ending up with the same balance:
1540.30 - x = 1615.55 - 2x
75.25 = x

Therefore, Mr. Herman wrote a check for -75.25, which is option c.