Question
7. The price of a pack of gum today is 636 . This is 36 more than three times the price 10 years ago. What was the price 10 years ago?
Ask by Donnelly Higgins. in the United States
Dec 11,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The price 10 years ago was 200.
Solution
Let the price of the pack of gum 10 years ago be \( x \).
According to the problem, the current price of the pack of gum is 636, which is 36 more than three times the price 10 years ago. We can set up the equation as follows:
\[
636 = 3x + 36
\]
To find \( x \), we first subtract 36 from both sides:
\[
636 - 36 = 3x
\]
\[
600 = 3x
\]
Next, we divide both sides by 3:
\[
x = \frac{600}{3}
\]
\[
x = 200
\]
Thus, the price of the pack of gum 10 years ago was \( \boxed{200} \).
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Simplify this solution Extra Insights
Let's break this down! If we let \( x \) represent the price of a pack of gum 10 years ago, the equation we can set up based on the information provided is: \[ 3x + 36 = 636. \] By solving it, we subtract 36 from both sides to get \( 3x = 600 \), and then divide by 3, leading us to find \( x = 200 \). Therefore, the price of a pack of gum 10 years ago was 200. Now for some fun: Imagine how much gum you could buy for 200! Back then, candy stores were full of delicious options, and you might have enjoyed a couple of rounds of Candy Land or two after your gum binge. Talk about a sweet time!
