Question 11

Explanation

The core concept here is maintaining the consistency of the tea's taste. For the tea to taste the same, the ratio between tea bags and sugar must remain constant, regardless of how many glasses are made.

The base ratio is given as $2$ tea bags to $3$ spoons of sugar. When we use $5$ tea bags with $b$ spoons of sugar, we can set up the following proportion:

Our goal is to find the value of $P$, which is defined as $2b$. By observing the proportion closely, we can solve directly for $2b$ using cross-multiplication, without needing to find the individual value of $b$ first:

Now we have $P = 15$. We simply compare this with the given value of $Q$, which is $10$.

Thus, we can conclude that the correct relationship is $P$ is greater than $Q$.