gamjatang wrote:

There are two kinds of coffee - coffee P and coffee R. Laxie has 24kg of coffee P and 25kg of cofee R. She made two mixtures of coffee using coffee P and coffee R. The ratio of coffee P to coffee R in mixture X is 4:1, and the ratio of coffee P to coffee R in mixture Y is 1:5. How many kg's of mixture X did she make?

By brute force

P and R lets take some coffe in proportion 4:1 so that the remainder was in ratio 1:5

24 25

8 2 remainder 16 and 23 nope

12 3 remainder 12 and 22 nope

16 4 ............... 8 and21 nope

20 5 .............. 4 and 20 bingo

answer is 25 kg of mixture X