5/12 of the mass of nuts Jeff had is cashew nuts and the rest is peanuts. After he bought another 1/4 kg of cashew nuts and gave away 3/8 kg of peanuts, he had an equal mass of cashew nuts and peanuts. Find the mass of the cashew nuts he had at first.

Answer 1

c = 5m / 12 ... p = 7m / 12

5m/12 + 1/4 = 7m/12 - 3/8

10m/24 + 6/24 = 14m/24 - 9/24 ... 10m + 6 = 14m - 9 ... 15 = 4m ... m = 15/4

c = 75/4 / 12 = 75 / 48 = 25/16 kg