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Victoria is shopping for thank-you notes at Sweet Greetings. She is trying to decide between the three different packages of notes shown below. $\newline$ Package $1$ , $8$ notes for $\$6.00$ $\newline$ Package $2$ , $30$ notes for $\$12.00$ $\newline$ Package $3$ , $12$ notes for $\$6.00$ $\newline$ If Victoria is looking for the best deal, which package of thank-you notes should she buy?

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Compare rates: word problems

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Q. Victoria is shopping for thank-you notes at Sweet Greetings. She is trying to decide between the three different packages of notes shown below.

\newline

Package

1

,

8

notes for

\$6.00

\newline

Package

2

,

30

notes for

\$12.00

\newline

Package

3

,

12

notes for

\$6.00

\newline

If Victoria is looking for the best deal, which package of thank-you notes should she buy?

Calculate Package $1$ Cost: Calculate the cost per note for Package $1$ . $\newline$ Number of notes = $8$ $\newline$ Cost = $(\$6.00)$ $\newline$ Cost per note = Cost $\div$ Number of notes $\newline$ Cost per note = $(\$6.00) \div 8$
Calculate Package $1$ Cost Per Note: Perform the calculation for the cost per note for Package $1$ . $\newline$ Cost per note = $\$6.00 \div 8 = \$0.75$ per note
Calculate Package $2$ Cost: Calculate the cost per note for Package $2$ . $\newline$ Number of notes = $30$ $\newline$ Cost = $(\$12.00)$ $\newline$ Cost per note = Cost $\div$ Number of notes $\newline$ Cost per note = $(\$12.00) \div 30$
Calculate Package $2$ Cost Per Note: Perform the calculation for the cost per note for Package $2$ . $\newline$ Cost per note = $\$12.00 \div 30 = \$0.40$ per note
Calculate Package $3$ Cost: Calculate the cost per note for Package $3$ . $\newline$ Number of notes = $12$ $\newline$ Cost = $(\$6.00)$ $\newline$ Cost per note = Cost $\div$ Number of notes $\newline$ Cost per note = $(\$6.00) \div 12$
Calculate Package $3$ Cost Per Note: Perform the calculation for the cost per note for Package $3$ . Cost per note = $\$6.00 \div 12 = \$0.50$ per note
Compare Cost Per Note: Compare the cost per note for all three packages to determine the best deal. $\newline$ Package $1$ : $\$0.75$ per note $\newline$ Package $2$ : $\$0.40$ per note $\newline$ Package $3$ : $\$0.50$ per note $\newline$ The best deal will have the lowest cost per note.
Identify Best Deal: Identify the package with the lowest cost per note. $\newline$ Package $2$ has the lowest cost per note at $\$0.40$ per note.

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