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Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling $5$ -day packs for $275.60$ $\$$ . Grand Mountain is selling $3$ -day packs for $174.75$ $\$$ . Which mountain offers the better deal? $\newline$ Choices: $\newline$ (A)Peak Point $\newline$ (B)Grand Mountain

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Compare rates: word problems

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Q. Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling

5

-day packs for

275.60

\$

. Grand Mountain is selling

3

-day packs for

174.75

\$

. Which mountain offers the better deal?

\newline

Choices:

\newline

(A)Peak Point

\newline

(B)Grand Mountain

Calculate Peak Point Cost: Step $1$ : Calculate the cost per day for Peak Point. $\newline$ ● Total cost for $5$ -day pack = $\$275.60$ $\newline$ ● Number of days = $5$ $\newline$ Cost per day = Total cost ÷ Number of days $\newline$ Cost per day = $\$275.60 / 5 = \$55.12$
Calculate Grand Mountain Cost: Step $2$ : Calculate the cost per day for Grand Mountain. $\newline$ ● Total cost for $3$ -day pack = $\$174.75$ $\newline$ ● Number of days = $3$ $\newline$ Cost per day = Total cost $\div$ Number of days $\newline$ Cost per day = $\$174.75 / 3 = \$58.25$
Compare Cost Per Day: Step $3$ : Compare the cost per day of both mountains. $\newline$ ● Cost per day at Peak Point = $\$55.12$ $\newline$ ● Cost per day at Grand Mountain = $\$58.25$ $\newline$ Since $\$55.12$ is less than $\$58.25$ , Peak Point offers the better deal.

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