Question 950287
peanuts = 105 per kilo
cashews = 50 per kilo
x = number of kilos of peanuts
100 = number of kilos of cashews.


total kilos = x + 100


105 * x + 100 * 50 = 75 * (x + 100)


simplify to get:


105x + 5000 = 75x + 7500


subtract 75x from both sides of the equation and subtract 5000 from both sides of the equation to get:


105x - 75x = 7500 - 5000


simplify to get:


30x = 2500


divide both sides of the equation by 30 to get:


x = 250/3


that's equivalent to 83 and 1/3 kilos of peanuts.


replace x in the original equation with 250/3 to confirm the solution is good.


105 * x + 100 * 50 = 75 * (x + 100) becomes:


105 * 250/3 + 100 * 50 = 75 * (250/3 + 100)


simplify to get:


8750 + 5000 = 6250 + 7500 which becomes:


13750 = 13750


this confirms the solution is good.