Valentina's parents are planning a trip to the Typhoon Towers resort. They plan to get a 6-day Fun Pass, which will give Valentina access to all the slides and pools at the resort during their stay. Her parents also plan to get her a $30 arcade pass. Altogether, Valentina's parents will spend $129 on passes. What is the daily cost of a Fun Pass?

Question

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Answer 1

Let the daily cost of a Fun Pass be \( x \).

Since Valentina's parents are planning to get a 6-day Fun Pass, the total cost for the Fun Pass will be:

\[ 6x \]

They are also spending $30 on the arcade pass. Hence, the total expenditure for the passes can be expressed as:

\[ 6x + 30 = 129 \]

Now, we need to solve for \( x \). First, we can isolate \( 6x \) by subtracting 30 from both sides:

\[ 6x = 129 - 30 \] \[ 6x = 99 \]

Next, we divide both sides by 6 to find \( x \):

\[ x = \frac{99}{6} = 16.5 \]

Therefore, the daily cost of a Fun Pass is:

\[ \boxed{16.50} \]