3 kg compost + 4 kg manure = 72
ratio of compost in the mixture = 3/7
Total price = 72
Price per Kg = 72/7 = 10.2 when compost is 3/7 in the mixture
New mixture = 6 kg compost / 21 kg total mixture = 2/7
Price multiplier x 3/7 = 2/7 (since proportion of compost is directly equal to price)
Price multiplier = (2/7) x (7/3) =
2/3 for the new mixtureNew price should be 2/3 of the older price per kg => 2/3 x 10.2 = 6.8
Price of the mixture = 6.8 x 21 = 142.8 which is ~ 144 cents
Hence,
Answer Option B