Problem 3 · 2003 AMC 8
Easy
Fractions, Decimals & Percents
proportion
A burger at Ricky C's weighs 120 grams, of which 30 grams are filler. What percent of the burger is not filler?
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Answer: D — 75%.
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Hint 1 of 2
"Percent that is NOT filler" means the non-filler part compared to the whole burger — find that part first.
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Hint 2 of 2
Percent of a whole = part ÷ whole, written out of 100.
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Approach: part over whole
- The question asks for the non-filler part, so peel it off first: 120 − 30 = 90 grams are not filler.
- Now compare that part to the whole burger: 90/120. This simplifies to 3/4 = 75%.
- Shortcut check: the filler is 30/120 = 1/4 = 25%, and the rest must make 100%, so 100% − 25% = 75% — same answer, faster. Finding one part and subtracting from 100% often beats computing the other part directly.
Another way — filler percent, then subtract from 100%:
- Filler is 30 of 120 grams = 30/120 = 1/4 = 25%.
- Everything else is 100% − 25% = 75%.
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