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Determine the price of two type A footballs if the total cost of a type A and a type B football is $500.
1. Type B football costs $200.
2. Two type A and three type B footballs costs $1200.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
  • d)
    EACH statement ALONE is sufficient to answer the question asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Determine the price of two type A footballs if the total cost of a typ...
Let A and B represent the number of type A and Type B footballs respectively. Then A + B =  500.
In statement 1, B = 200, hence, from A + B =  500, A =  500 - B = 500 - 200 = $300. Thus 2A = $600. The statement is sufficient.
In statement 2, 2A + 3B = 1200, from A + B =  500,multiplying it by 3, we have 3A + 3B = 1500. Subtracting 2A + 3B = 1200 from 3A + 3B = 1500, we have A = 300; thus 2A = $600. The statement too is sufficient.
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Most Upvoted Answer
Determine the price of two type A footballs if the total cost of a typ...
**Statement (1): Type B football costs $200**
- This statement alone does not provide any information about the price of type A footballs. We cannot determine the price of type A footballs based on this statement alone.

**Statement (2): Two type A and three type B footballs cost $1200**
- Let's assume the price of a type A football is x and the price of a type B football is y.
- From this statement, we can write the following equation based on the given information:
2x + 3y = 1200

**Analyzing both statements together:**
- We have two equations:
2x + 3y = 1200 (Equation 1 from statement 2)
x + y = 500 (Equation derived from statement 1)

- By solving these two equations simultaneously, we can find the values of x and y, which represent the prices of type A and type B footballs, respectively. Therefore, both statements together are sufficient to answer the question.

**Conclusion:**
- Both statements together are sufficient to determine the price of two type A footballs. Therefore, the correct answer is option D.
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Determine the price of two type A footballs if the total cost of a type A and a type B football is $500.1. Type B football costs $200.2. Two type A and three type B footballs costs $1200.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?
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Determine the price of two type A footballs if the total cost of a type A and a type B football is $500.1. Type B football costs $200.2. Two type A and three type B footballs costs $1200.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Determine the price of two type A footballs if the total cost of a type A and a type B football is $500.1. Type B football costs $200.2. Two type A and three type B footballs costs $1200.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the price of two type A footballs if the total cost of a type A and a type B football is $500.1. Type B football costs $200.2. Two type A and three type B footballs costs $1200.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'D'. Can you explain this answer?.
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