Mathematics

Problem

In a café, 2 cups of tea and 3 cups of coffee cost Rs 110, while 4 cups of tea and 2 cups of coffee cost Rs 120. If the price of one cup of tea is Rs

t

and that of coffee is Rs

c

, what is the value of

c

? a)

30

17.5

25

22.5

Intuitive explanation

This is a system of linear equations problem where you have two unknowns ( $t$ and $c$ ) and two pieces of information. The key insight is to translate each sentence into an equation, then use substitution or elimination to isolate one variable. Once you have two equations in standard form, you can eliminate one variable by multiplying and subtracting strategically—this will let you solve for $c$ directly.

Intuitive explanation

Browse the problem library