Solve the Problem $\$ 300,000$ In Profits; $\begin{array} { l } a + b = ( d + c ) + 1 \\b + c = 8\end{array}$

question 101

Multiple Choice

Solve the problem.
-A certain department store's profits for the months of July and August were a 6-digit palindrome, say $abc,def, satisfying these conditions: The store made less than $\$ 300,000$ in profits;
$\begin{array} { l } a + b = ( d + c ) + 1 \\b + c = 8\end{array}$
$a \neq b$ ; and
if a were decreased by 2 and b were increased by 3 , the sum of the two new numbers would be equal to the sum of $d$ and $e$ .
By how much did the store surpass its 2-month goal of $\$ 245,856$ ?

• A) \(\$ 253,352\)
• B) \(\$ 3748\)
• C) \(\$ 260,848\)
• D) \(\$ 7496\)

---

Definitions:

Psychodynamic Therapies

A group of therapies derived from psychoanalytic theory, focusing on unconscious processes and unresolved conflicts from childhood.

Obsessive-compulsive Disorders

A mental health condition characterized by unwanted repetitive thoughts (obsessions) and actions (compulsions).

Defense Mechanisms

Psychological strategies used unconsciously to protect oneself from anxiety arising from unacceptable thoughts or feelings.

Obsessions

Persistent, unwanted thoughts, urges, or images that cause distress or anxiety.