This is a question on my son’s math homework today:
The density of iron is 7.874 grams per cubic centimeter. Estimate the space that would be occupied by 50 grams of iron.
a) 16 cm3 b) 35 cm3 c) 350 cm3 d) 400 cm3
I realize that it has been a long time since I did any algebra, but this seemed like a very simple problem to me. Taking it step-by-step…
1) You start with this equation: 7.874g/1cm3 = 50g/Xcm3
2) Isolate the variable by multiplying both sides of the equation by Xcm3…
Xcm3(7.874g/1cm3) = Xcm3(50g/Xcm3)
X7.874g = 50g
3) …and then dividing both sides by 7.874.
X7.874g/7.874g = 50g/7.874g
X = ~6.35
His teacher says the correct answer is c) 350 cm3. Am I missing something very simple here, or is the teacher wrong and the correct answer not listed?
Triton? Mark? Will one of you guys (or someone else) double check my junior high algebra for me?