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10 Mar 2026, 05:21
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
91% (02:20) correct
9%
(01:36)
wrong
based on 22
sessions
History
Date
Time
Result
Not Attempted Yet
In a routine lipid panel, a patient’s LDL cholesterol level (in mg/dL) is estimated by subtracting the sum of the HDL level and one-fifth of the triglyceride level from the total cholesterol level. For a certain patient, the total cholesterol level is 240 mg/dL and the HDL level is 60 mg/dL. If the patient’s LDL level is 156 mg/dL, what is the patient’s triglyceride level in mg/dL?
A. 80
B. 90
C. 100
D. 110
E. 120
A. 80
B. 90
C. 100
D. 110
E. 120
10 Mar 2026, 06:31
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kevincan
LDL = TCL - (HDL + (1/5)* TGL)
156 = 240 - (60 + (1/5)*TGL)
60 + (1/5)*TGL = 240 -156
60 + (1/5)*TGL = 24
thus, TGL = 120
Option E
10 Mar 2026, 07:22
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The key concept being tested here is Formula-based Word Problems in Problem Solving — translating a multi-part verbal formula into an equation, then solving for one unknown.
1. Translate the formula exactly as stated:
LDL = Total Cholesterol − (HDL + (1/5) × Triglycerides)
2. Plug in the known values (Total = 240, HDL = 60, LDL = 156):
156 = 240 − (60 + (1/5) × TGL)
3. Simplify the right-hand side step by step — first handle what's inside the parentheses:
156 = 240 − 60 − (1/5) × TGL
156 = 180 − (1/5) × TGL
4. Isolate the triglyceride term:
(1/5) × TGL = 180 − 156 = 24
5. Solve for TGL:
TGL = 24 × 5 = 120
Answer: E
Common trap: Students often try to solve in one shot and either drop the (1/5) multiplier — treating it as TGL instead of (1/5) × TGL — or they misread the formula as LDL = Total − HDL − TGL (without the one-fifth). Both errors give a wrong answer. The formula has a nested structure: you're subtracting the sum of HDL and a fraction of TGL, not each one independently.
Takeaway: For any nested-formula Word Problem in Problem Solving, write the equation out in full before plugging in numbers — it takes 10 extra seconds and eliminates 90% of errors on these questions.
1. Translate the formula exactly as stated:
LDL = Total Cholesterol − (HDL + (1/5) × Triglycerides)
2. Plug in the known values (Total = 240, HDL = 60, LDL = 156):
156 = 240 − (60 + (1/5) × TGL)
3. Simplify the right-hand side step by step — first handle what's inside the parentheses:
156 = 240 − 60 − (1/5) × TGL
156 = 180 − (1/5) × TGL
4. Isolate the triglyceride term:
(1/5) × TGL = 180 − 156 = 24
5. Solve for TGL:
TGL = 24 × 5 = 120
Answer: E
Common trap: Students often try to solve in one shot and either drop the (1/5) multiplier — treating it as TGL instead of (1/5) × TGL — or they misread the formula as LDL = Total − HDL − TGL (without the one-fifth). Both errors give a wrong answer. The formula has a nested structure: you're subtracting the sum of HDL and a fraction of TGL, not each one independently.
Takeaway: For any nested-formula Word Problem in Problem Solving, write the equation out in full before plugging in numbers — it takes 10 extra seconds and eliminates 90% of errors on these questions.
