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Kermit's favorite iced tea uses 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. Peggy and Kermit keep the bags in the water the same amount of time.
What will Kermit think of Peggy's iced tea?
Choose 1 answer:
(A) Peggy's iced tea is too strong.
(B) Peggy's iced tea is too weak.
(c) Peggy's iced tea is just right.

Kermit's favorite iced tea uses $15$ tea bags in every $2$ liters of water. Peggy made a $12$ -liter batch of iced tea with $90$ tea bags. Peggy and Kermit keep the bags in the water the same amount of time. $\newline$ What will Kermit think of Peggy's iced tea? $\newline$ Choose $1$ answer: $\newline$ (A) Peggy's iced tea is too strong. $\newline$ (B) Peggy's iced tea is too weak. $\newline$ (C) Peggy's iced tea is just right.

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Quantities that combine to zero: word problems

Full solution

Q. Kermit's favorite iced tea uses

15

tea bags in every

2

liters of water. Peggy made a

12

-liter batch of iced tea with

90

tea bags. Peggy and Kermit keep the bags in the water the same amount of time.

\newline

What will Kermit think of Peggy's iced tea?

\newline

Choose

1

answer:

\newline

(A) Peggy's iced tea is too strong.

\newline

(B) Peggy's iced tea is too weak.

\newline

(C) Peggy's iced tea is just right.

Determine Kermit's preferred ratio: Determine the ratio of tea bags to water that Kermit prefers. $\newline$ Kermit's favorite ratio is $15$ tea bags for every $2$ liters of water.
Calculate tea bags for a $12$ -liter batch: Calculate the number of tea bags Kermit would use for a $12$ -liter batch. $\newline$ Since Kermit uses $15$ tea bags for $2$ liters, for $12$ liters (which is $6$ times more), he would use $15$ tea bags $\times 6 = 90$ tea bags.
Compare tea bags used by Peggy and Kermit: Compare the number of tea bags Peggy used to what Kermit would use. $\newline$ Peggy used $90$ tea bags for her $12$ -liter batch, which is the same number that Kermit would use.
Determine Kermit's opinion on Peggy's iced tea: Determine Kermit's opinion on the strength of Peggy's iced tea. $\newline$ Since Peggy used the same ratio of tea bags to water as Kermit prefers, Kermit would think that Peggy's iced tea is just right.

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