The composition of the iron meteorite is 91% iron and 8 1/3 nickel. How many kilograms of iron

The composition of the iron meteorite is 91% iron and 8 1/3 nickel. How many kilograms of iron, how many kilograms of nickel are included in the Sikhote-Alin iron meteorite, the mass of which is 51 kg (the largest fragment)?

1. Since the mass of the meteorite 51 kg is a whole, it is equal to 100%. Let’s make the proportion:
51 kg = 100%;
x = 91%.
x is the number of kilograms that make up 91% of the total meteorite.
x = 51 * 91/100 = 4641/100 = 46.41 (kg).
Thus, 91% of a meteorite weighing 51 kg is 46.41 kg of iron.
2. Let’s translate the mixed fraction 8 1/3 into an incorrect one:
8 1/3 = (8 * 3 + 1) / 3 = (24 + 1) / 3 = 25/3.
Let 51 kg = 100, then 25/3 nickel will be equal:
51 kg = 100;
x = 25/3
x = (51 * 25/3) / 100 = (51 * 25/3) / 100 = (17 * 25) / 100 = 425/100 = 4.25 (kg).
Thus, 8 1/3 of a meteorite weighing 51 kg is 4.25 kg of nickel.
Answer: iron = 46.41 kg, nickel = 4.25 kg.