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Kate plays a game called ‘Fruitball’ in which a fruit is thrown for the player to catch. The fruit that is thrown can be an apple or an orange. A total of 24 fruits are thrown to each player and every time a player catches a fruit, a score of ‘1’ is awarded and every time a fruit is missed a score of ‘0’ is awarded. Kate scores 2/3 of her total points from catching apples and 6 more oranges were thrown at her than apples. If the number of apples that she misses is 1/4 the number of oranges she misses, how much does Kate score in this game of ‘Fruitball’?
  • a)
    6
  • b)
    7
  • c)
    8
  • d)
    9
  • e)
    10
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Kate plays a game called ‘Fruitball’ in which a fruit is t...
Step 1: Question statement and Inferences
Let’s say that P number of apples are thrown at her.
Then, the number of oranges thrown at her = 24 – P
 
Step 2: Finding required values
Since 6 more oranges are thrown at her than apples,
24 – P = P + 6
P = 9
Therefore, 9 apples and 15 oranges are thrown at her.
Let’s say that Kate catches x apples out of 9 apples thrown at her and y oranges out of 15 oranges thrown at her.
Then, her total score = x + y
If 2/3 of her total score is from catching apples, then
The number of apples missed = 9 – x
The number of oranges missed = 15 – y
Then, since the number of apples she missed is 1/4 of the number of oranges she missed,
Solving equation (1) and (2):
Substituting x from equation (1) in equation (2):
21 = 4(2y) – y
21 = 7y
y = 3
Step 3: Calculating the final answer
Substituting the value of y in equation (1),
x = 2 * 3 = 6
Kate’s total score at this game = x + y = 6 + 3 = 9.
Correct Choice: D
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Most Upvoted Answer
Kate plays a game called ‘Fruitball’ in which a fruit is t...
Given:
- Total number of fruits thrown = 24
- Kate scores 2/3 of her total points from catching apples
- Number of oranges thrown = Number of apples thrown + 6
- Number of apples missed = 1/4 * Number of oranges missed

To find:
- Kate's score in the game of Fruitball

Solution:

Let's assume:
- Number of apples thrown = A
- Number of oranges thrown = O

Step 1: Expressing the given information in equations:
- Total number of fruits thrown = A + O = 24 ---- (Equation 1)
- Kate's score from catching apples = 2/3 * Total score = (2/3) * (A / (A + O)) ---- (Equation 2)
- Number of oranges thrown = Number of apples thrown + 6 ---- (Equation 3)
- Number of apples missed = 1/4 * Number of oranges missed ---- (Equation 4)

Step 2: Solving the equations:
From Equation 3, we have:
- O = A + 6

Substituting this value in Equation 1, we get:
- A + (A + 6) = 24
- 2A + 6 = 24
- 2A = 18
- A = 9

Substituting the value of A in Equation 3, we get:
- O = 9 + 6
- O = 15

Step 3: Calculating Kate's score:
From Equation 2, we have:
- Kate's score from catching apples = (2/3) * (9 / (9 + 15))
- Kate's score from catching apples = (2/3) * (9/24)
- Kate's score from catching apples = (2/3) * (3/8)
- Kate's score from catching apples = 1/4

Since Kate scores 1/4 of her total points from catching apples, her total score can be calculated as:
- Total score = (1 / (1/4)) * 1
- Total score = 4

Therefore, Kate's score in the game of Fruitball is 4.

Answer:
The correct answer is option D) 9.
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Kate plays a game called ‘Fruitball’ in which a fruit is thrown for the player to catch. The fruit that is thrown can be an apple or an orange. A total of 24 fruits are thrown to each playerand every time a player catches a fruit, a score of ‘1’ is awarded and every time a fruit is missed a score of ‘0’ is awarded. Kate scores 2/3 of her total points from catching apples and 6 more oranges were thrown at her than apples. If the number of apples that she misses is 1/4 the number of oranges she misses, how much does Kate score in this game of ‘Fruitball’?a)6b)7c)8d)9e)10Correct answer is option 'D'. Can you explain this answer?
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Kate plays a game called ‘Fruitball’ in which a fruit is thrown for the player to catch. The fruit that is thrown can be an apple or an orange. A total of 24 fruits are thrown to each playerand every time a player catches a fruit, a score of ‘1’ is awarded and every time a fruit is missed a score of ‘0’ is awarded. Kate scores 2/3 of her total points from catching apples and 6 more oranges were thrown at her than apples. If the number of apples that she misses is 1/4 the number of oranges she misses, how much does Kate score in this game of ‘Fruitball’?a)6b)7c)8d)9e)10Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Kate plays a game called ‘Fruitball’ in which a fruit is thrown for the player to catch. The fruit that is thrown can be an apple or an orange. A total of 24 fruits are thrown to each playerand every time a player catches a fruit, a score of ‘1’ is awarded and every time a fruit is missed a score of ‘0’ is awarded. Kate scores 2/3 of her total points from catching apples and 6 more oranges were thrown at her than apples. If the number of apples that she misses is 1/4 the number of oranges she misses, how much does Kate score in this game of ‘Fruitball’?a)6b)7c)8d)9e)10Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kate plays a game called ‘Fruitball’ in which a fruit is thrown for the player to catch. The fruit that is thrown can be an apple or an orange. A total of 24 fruits are thrown to each playerand every time a player catches a fruit, a score of ‘1’ is awarded and every time a fruit is missed a score of ‘0’ is awarded. Kate scores 2/3 of her total points from catching apples and 6 more oranges were thrown at her than apples. If the number of apples that she misses is 1/4 the number of oranges she misses, how much does Kate score in this game of ‘Fruitball’?a)6b)7c)8d)9e)10Correct answer is option 'D'. Can you explain this answer?.
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