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.

Determine Ratio: First, we need to determine the ratio of tea bags to water that Kermit prefers. According to the problem, Kermit's favorite iced tea uses 15 tea bags in every 2 liters of water.Calculate Tea Bags: To find out how many tea bags Kermit would use for a 12-liter batch, we set up a proportion based on the ratio he prefers. If 15 tea bags are used for 2 liters, then we can calculate the number of tea bags for 12 liters by cross-multiplying and solving for the unknown number of tea bags (let's call it x). \[ \frac{15 \text{ tea bags}}{2 \text{ liters}} = \frac{x \text{ tea bags}}{12 \text{ liters}} \]Set Up Proportion: Cross-multiply to solve for x: \[ 15 \times 12 = 2 \times x \] \[ 180 = 2x \]Cross-Multiply: Divide both sides by 2 to solve for x: \[ \frac{180}{2} = x \] \[ x = 90 \]Divide and Solve: Kermit would use 90 tea bags for a 12-liter batch of iced tea. Since Peggy also used 90 tea bags for her 12-liter batch, the strength of the iced tea she made matches Kermit's preference.

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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. $\newline$ 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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Math Problems

Grade 7

Quantities that combine to zero: word problems

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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

Determine Ratio: First, we need to determine the ratio of tea bags to water that Kermit prefers. According to the problem, Kermit's favorite iced tea uses $15$ tea bags in every $2$ liters of water.
Calculate Tea Bags: To find out how many tea bags Kermit would use for a $12$ -liter batch, we set up a proportion based on the ratio he prefers. If $15$ tea bags are used for $2$ liters, then we can calculate the number of tea bags for $12$ liters by cross-multiplying and solving for the unknown number of tea bags (let's call it x). $\newline$ $\frac{15 \text{ tea bags}}{2 \text{ liters}} = \frac{x \text{ tea bags}}{12 \text{ liters}}$
Set Up Proportion: Cross-multiply to solve for x: $\newline$ $15 \times 12 = 2 \times x$ $\newline$ $180 = 2x$
Cross-Multiply: Divide both sides by $2$ to solve for x: $\newline$ $\frac{180}{2} = x$ $\newline$ $x = 90$
Divide and Solve: Kermit would use $90$ tea bags for a $12$ -liter batch of iced tea. Since Peggy also used $90$ tea bags for her $12$ -liter batch, the strength of the iced tea she made matches Kermit's preference.