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Kermit's favorite iced tea uses 1515 tea bags in every 22 liters of water. Peggy made a 1212-liter batch of iced tea with 9090 tea bags. Peggy and Kermit keep the bags in the water the same amount of time.\newlineWhat will Kermit think of Peggy's iced tea?\newlineChoose 11 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.

Full solution

Q. Kermit's favorite iced tea uses 1515 tea bags in every 22 liters of water. Peggy made a 1212-liter batch of iced tea with 9090 tea bags. Peggy and Kermit keep the bags in the water the same amount of time.\newlineWhat will Kermit think of Peggy's iced tea?\newlineChoose 11 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.
  1. Determine Preferred Ratio: Let's first determine the ratio of tea bags to water that Kermit prefers. According to the problem, Kermit's favorite iced tea uses 1515 tea bags in every 22 liters of water.
  2. Set Up Proportion: To find out how many tea bags Kermit would use for a 1212-liter batch, we set up a proportion based on his preferred ratio. If 1515 tea bags are used for 22 liters, then we can calculate the number of tea bags for 1212 liters by cross-multiplying and solving for the unknown number of tea bags (let's call it x).\newline15 tea bags2 liters=x tea bags12 liters \frac{15 \text{ tea bags}}{2 \text{ liters}} = \frac{x \text{ tea bags}}{12 \text{ liters}}
  3. Cross-Multiply for x: Cross-multiply to solve for x:\newline15×12=2×x 15 \times 12 = 2 \times x \newline180=2x 180 = 2x
  4. Solve for x: Divide both sides by 22 to solve for x:\newline1802=x \frac{180}{2} = x \newlinex=90 x = 90
  5. Calculate Tea Bags: Kermit would use 9090 tea bags for a 1212-liter batch of iced tea. Since Peggy also used 9090 tea bags for her 1212-liter batch, the strength of the tea should be just right according to Kermit's preference.

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