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Difficulty:
35%
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Question Stats:
77% (01:45) correct
23%
(01:28)
wrong
based on 98
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A golf club that sold only individual and family memberships charged $400 for an individual membership. If the club's total revenue from memberships was $600,000, what was the charge for a family membership?
(1) The club sold twice as many family memberships as individual ones
(2) The revenue from individual memberships was 1/3 of the total revenue from memberships
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) The club sold twice as many family memberships as individual ones
(2) The revenue from individual memberships was 1/3 of the total revenue from memberships
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
01 Sep 2026, 10:40
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Answer: Option C
STIMULUS SETUP:
Let N_I = individual memberships sold, N_F = family memberships sold
P_I = $400, P_F = family membership price
Total Revenue Equation: 400*(N_I) + P_F*(N_F) = 600,000
Target: Find P_F
STATEMENT (1) EVALUATION:
- Equation: N_F = 2 * N_I
- Substitute: N_I * (400 + 2*P_F) = 600,000
- 2 unknown variables (N_I, P_F) -> Multiple valid pairs (e.g., N_I=500, P_F=400 vs N_I=250, P_F=1000).
- INSUFFICIENT.
STATEMENT (2) EVALUATION:
- Individual Revenue = (1/3) * 600,000 = 200,000
- 400 * N_I = 200,000 -> N_I = 500
- Family Revenue = 400,000 -> N_F * P_F = 400,000
- P_F depends on N_F, which is still unknown.
- INSUFFICIENT.
STATEMENTS (1) & (2) TOGETHER:
- From (2): N_I = 500
- From (1): N_F = 2 * N_I = 2 * 500 = 1,000
- Substitute N_F into Family Revenue: 1,000 * P_F = 400,000 -> P_F = 400.
- Unique solution found.
- SUFFICIENT.
STIMULUS SETUP:
Let N_I = individual memberships sold, N_F = family memberships sold
P_I = $400, P_F = family membership price
Total Revenue Equation: 400*(N_I) + P_F*(N_F) = 600,000
Target: Find P_F
STATEMENT (1) EVALUATION:
- Equation: N_F = 2 * N_I
- Substitute: N_I * (400 + 2*P_F) = 600,000
- 2 unknown variables (N_I, P_F) -> Multiple valid pairs (e.g., N_I=500, P_F=400 vs N_I=250, P_F=1000).
- INSUFFICIENT.
STATEMENT (2) EVALUATION:
- Individual Revenue = (1/3) * 600,000 = 200,000
- 400 * N_I = 200,000 -> N_I = 500
- Family Revenue = 400,000 -> N_F * P_F = 400,000
- P_F depends on N_F, which is still unknown.
- INSUFFICIENT.
STATEMENTS (1) & (2) TOGETHER:
- From (2): N_I = 500
- From (1): N_F = 2 * N_I = 2 * 500 = 1,000
- Substitute N_F into Family Revenue: 1,000 * P_F = 400,000 -> P_F = 400.
- Unique solution found.
- SUFFICIENT.
02 Sep 2026, 02:14
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Let \(I\) be the number of individual memberships, \(F\) be the number of family memberships and \(x\) be the revenue from family memberships.
We can set up the following equation: \(I*400+F*x=600,000\)
Statement 1
\(F=2I\)
\(I*400+2I*x=600,000\)
We still have 2 variables, but only 1 equation.
Not sufficient
Statement 2
\(I=1/3*600,000=200,000\)
\(200,000*400+F*x=600,000\)
We still have 2 variables, but only 1 equation.
Not sufficient
Statement 1 + Statement 2
\(F=2I\)
\(I=200,000\)
\(200,000*400+400,000*x=600,000\)
We have 1 variable and 1 equation, so we can find the value of x.
Sufficient
Answer: C
We can set up the following equation: \(I*400+F*x=600,000\)
Statement 1
\(F=2I\)
\(I*400+2I*x=600,000\)
We still have 2 variables, but only 1 equation.
Not sufficient
Statement 2
\(I=1/3*600,000=200,000\)
\(200,000*400+F*x=600,000\)
We still have 2 variables, but only 1 equation.
Not sufficient
Statement 1 + Statement 2
\(F=2I\)
\(I=200,000\)
\(200,000*400+400,000*x=600,000\)
We have 1 variable and 1 equation, so we can find the value of x.
Sufficient
Answer: C
