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