Question
4. Jan is saving for a skateboard. She has saved \( \$ 30 \) already, which is \( 20 \% \) of the total price. How much does the skateboard cost?
Ask by Tucker Hodgson. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The skateboard costs \$150.
Solution
Let \( T \) be the total cost of the skateboard.
Since Jan's current savings, which is \(\$30\), represent \( 20\% \) of the total price, we can write the equation:
\[
0.20T = 30
\]
To solve for \( T \), divide both sides by \( 0.20 \):
\[
T = \frac{30}{0.20} = 150
\]
Thus, the skateboard costs \(\$150\).
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Simplify this solution The Deep Dive
To find the total cost of the skateboard, you can set up an equation based on the information given. If Jan's \( \$30 \) is \( 20\% \) of the total price, you can represent the total price as \( x \). The equation would be \( 0.20x = 30 \). By solving for \( x \), you would divide \( 30 \) by \( 0.20 \), resulting in \( x = 150 \). Therefore, the skateboard costs \( \$150 \)! Now, imagine all the cool tricks Jan will be able to do once she has her board! That's right, having the right equipment kicks off a journey of fun at the skatepark, and possibly some gnarly adventure stories to tell later!
