PROBLEM:
Liza and Ken have a total of 2685 stamps. Liza has 323 more than Ken. How many stamps does each of them have?
SOLUTION:
• Let's first write the given problem as an algebraic equation. Let the number of stamps Ken have be [tex] \tt x[/tex], thus, for Liza will be [tex] \tt x + 323[/tex]. If the total number of stamps is 2685, then we need to equate 2685 to the sum of the stamps Ken and Liza have.
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]
[tex] \large\begin{array}{l} \tt x + x + 323 = 2685 \\ \tt 2x + 323 = 2685 \\ \tt 2x = 2685 - 323 \\ \tt 2x = 2362 \\ \tt \frac{2x}{2} = \frac{2362}{2} \\ \tt x = 1181\end{array}[/tex]
[tex]\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: }}[/tex]
ANSWER:
• Therefore, Ken has [tex] \blue{ \tt 1181}[/tex] stamps while Liza has [tex] \tt 1181 + 323 = \blue{1504}[/tex] stamps.
