SOLUTION: I have a question in my PSAT study book: "If m is 30% of n, and n is 80% of p, then m is what percent of p?" The answer choices are: 11%, 20%, 50% and 55%. I tried setting up fract

Question 911882: I have a question in my PSAT study book: "If m is 30% of n, and n is 80% of p, then m is what percent of p?" The answer choices are: 11%, 20%, 50% and 55%. I tried setting up fractions but I get lost and I don't know what to do after that. If anyone could help me find a way to solve this problem, it would be greatly appreciated. Thank you.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
---------------
The question is:
(3)
Solve for
---------------
Substitute (2) into (1)
(1)
(1)
--------------------
Substitute this result into (3)
(3)
Divide both sides by
(3)
Multiply both sides by
(3)
m is 24% of p
-------------
check:
(1)
(1)
(1)
This checks out
I don't see how the answers they
gave could be correct

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