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- Solutions 12

Upon decomposition, one sample of magnesium fluoride produced 1.65 kg of magnesium and 2.57 kg of fluorine. A second sample produced 1.32 kg of magnesium. How much fluorine (in grams) did the second sample produce?

Hey guys, in this question they give us a ratio of magnesium to fluorine so here they tell us that magnesium to fluorine is 1.65 kilograms of magnesium to 2.57 kilograms of fluorine, now they talk about a second sample now here in this sample we're still comparing the ratio magnesium to fluorine, here they tell us we have 1.32 kilograms of magnesium but we don't know the kilograms of fluorine so to solve for this we're going to establish a ratio so we have 1.65 kilograms of magnesium 2.57 kilograms of fluorine, we know that we have 1.32 kilograms of magnesium but we don't know what X is so we just have to solve for X, so cross multiply 1.65 times X and then cross multiply these 2 values together as well so 1.65X equals those 2 numbers multiplied together which gives me 3.3924 so X equals 2.056 kilograms. So that would be our answer to this question.