# Please help..., Iced tea mixture is in drink one as 9 tbsp mix to 4 cups of water and in drink 2 as 7 tbsp mix to 5 cups of water If I want a strong glass of iced tea do I use mix 1 or 2? Please help me explain.

May 2, 2018

You must use the first mix.

#### Explanation:

In the first mix, there are 9 tablespoons of iced tea for 4 cups. So, there must be exactly $\left(\frac{9}{4}\right)$ tablespoons of iced tea in one cup(apply the Unitary Method).

Similarly, the second mix has 7 tablespoons of iced tea for 5 cups of water. So, 1 cup of water must contain $\left(\frac{7}{5}\right)$ tablespoons of iced tea.

Now you must find which mix has a greater fraction. First, convert both fractions to a common denominator.
$\frac{9 \times 5}{4 \times 5} = \frac{45}{20}$
$\frac{7 \times 4}{5 \times 4} = \frac{35}{20}$

Clearly, $\frac{9}{4}$ is greater. So, the first mix has a greater concentration of iced tea.