Question

Kermit's favorite iced tea is made with $15$ tea bags in every $2\mathrm{liters}$ of water. Peggy made a $12-\mathrm{liter}$ batch of iced tea with $90$ tea bags. What will Kermit think of Peggy's iced tea?

• A. It is too strong.
• B. It is too weak.
• C. It is just right.

Answer 1

The correct option is C

It is just right.

Find the ratio of tea bags and water:

Number of tea bags need to make for every $2\mathrm{liter}$ water is $15$ tea bags.

For each liter of water, there need $\frac{15}{2}=7.5$ tea bags.

As we know that Peggy's batch has more liters per tea bag than Kermit's.

The ratio is of the form

$15\mathrm{tea}\mathrm{bags}:2L$ while the ratio she used is $90\mathrm{tea}\mathrm{bags}:12L$ and their fraction form is

$\frac{15}{2}=\frac{90}{12}$

Taking cross multiplication we get

$$\begin{gathered} 15\left(12\right)=90\left(2\right) \\ \therefore 180=180 \end{gathered}$$

Hence, the ratios are equal and it is just right.

Therefore, option C is correct.