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Kendra wants to buy an iced tea at the movie theater. A small cup is $12$ ounces and costs $\$1.68$ . A medium cup is $16$ ounces and costs $\$2.40$ . Which size is the better deal? $\newline$ Choices: $\newline$ (A)small $\newline$ (B)medium

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Compare rates: word problems

Full solution

Q. Kendra wants to buy an iced tea at the movie theater. A small cup is

12

ounces and costs

\$1.68

. A medium cup is

16

ounces and costs

\$2.40

. Which size is the better deal?

\newline

Choices:

\newline

(A)small

\newline

(B)medium

Calculate cost per ounce: Calculate the cost per ounce for the small cup. $\newline$ ● Cost = $\$1.68$ $\newline$ ● Volume = $12$ ounces $\newline$ Cost per ounce = Cost $\div$ Volume $\newline$ Cost per ounce = $\$1.68 / 12$ ounces
Calculate cost per ounce: Calculate the cost per ounce for the medium cup. $\newline$ ● Cost = $\$2.40$ $\newline$ ● Volume = $16$ ounces $\newline$ Cost per ounce = Cost $\div$ Volume $\newline$ Cost per ounce = $\$2.40 / 16$ ounces
Compare cost per ounce: Compare the cost per ounce of the small and medium cups to determine which is cheaper. $\newline$ ● Cost per ounce for small cup = $\$0.14$ $\newline$ ● Cost per ounce for medium cup = $\$0.15$ $\newline$ Since \$0.14 < \$0.15, the small cup is cheaper per ounce.

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