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) $\$ 7496$

Question

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) $\$ 7496$

Quizplus · Accepted Answer

The palindrome is $253,352. The store's profits surpassed the goal by $7496.

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

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