Solved on Jan 22, 2024

Find the better deal between 5-day pass at 275.60or3daypassat275.60 or 3-day pass at 174.75 for snowboarding.

STEP 1

Assumptions
1. Peak Point sells a 5-day pack for 275.60.<br/>2.GrandMountainsellsa3daypackfor275.60.<br />2. Grand Mountain sells a 3-day pack for 174.75.
3. We are to determine which mountain offers a better deal based on the cost per day of skiing.

STEP 2

First, we need to calculate the cost per day for the 5-day pack at Peak Point.
CostperdayatPeakPoint=Totalcostof5daypackNumberofdaysCost\, per\, day\, at\, Peak\, Point = \frac{Total\, cost\, of\, 5-day\, pack}{Number\, of\, days}

STEP 3

Now, plug in the given values for Peak Point to calculate the cost per day.
CostperdayatPeakPoint=$275.605Cost\, per\, day\, at\, Peak\, Point = \frac{\$275.60}{5}

STEP 4

Calculate the cost per day at Peak Point.
CostperdayatPeakPoint=$275.605=$55.12Cost\, per\, day\, at\, Peak\, Point = \frac{\$275.60}{5} = \$55.12

STEP 5

Next, we need to calculate the cost per day for the 3-day pack at Grand Mountain.
CostperdayatGrandMountain=Totalcostof3daypackNumberofdaysCost\, per\, day\, at\, Grand\, Mountain = \frac{Total\, cost\, of\, 3-day\, pack}{Number\, of\, days}

STEP 6

Now, plug in the given values for Grand Mountain to calculate the cost per day.
CostperdayatGrandMountain=$174.753Cost\, per\, day\, at\, Grand\, Mountain = \frac{\$174.75}{3}

STEP 7

Calculate the cost per day at Grand Mountain.
CostperdayatGrandMountain=$174.753=$58.25Cost\, per\, day\, at\, Grand\, Mountain = \frac{\$174.75}{3} = \$58.25

STEP 8

Now we compare the cost per day at both mountains to determine which one offers the better deal.
PeakPointcostperday=$55.12Peak\, Point\, cost\, per\, day = \$55.12 GrandMountaincostperday=$58.25Grand\, Mountain\, cost\, per\, day = \$58.25

STEP 9

Since the cost per day is lower at Peak Point, it offers the better deal for snowboarding.
Peak Point offers the better deal.

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