Multiple choice

Two boxes A and B were filled with a mixture of the rice and dal in A in the ratio 5 : 3 and in B in the ratio 7 : 3. What quantity from both the boxes (A and B) are to be mixed to achieve a mixture of 6 kg rice and 3 kg dal?

  1. 4 kg from box A and 5 kg from box B

  2. 4 kg from box A and 6 kg from box B

  3. 5 kg from box A and 4 kg from box B

  4. 5 kg from box A and 6 kg from box B

  5. 8 kg from box A and 5 kg from box B
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Assume X kg from box A and Y kg from box B are to be taken. So, from box A: Rice = 5X/8 and Dal = 3X/8 and from box B : Rice = 7Y/10 and Dal = 3Y/10 So, (5X/8 + 7Y/10) = 6 => 25X + 28Y = 240 (3X/8 + 3Y/10)= 3 => 15X + 12Y = 120 Solving both the equations: X = 4; Y = 5 So, 4 kg from box A and 5 kg from box B are to be taken. So, option 1 is correct.

Keep practicing — related questions