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A boy has kites of which all but 9 are red, all but 9 are yellow, all but 9 are green, and all but 9 are blue. How many kites does he have?
Question

A boy has kites of which all but 9 are red, all but 9 are yellow, all but 9 are green, and all but 9 are blue. How many kites does he have?

A.

12

B.

15

C.

9

D.

18

Correct option is A


Given:
1. The boy has kites of different colors: red, yellow, green, and blue.
2. All but 9 of the kites are red.
3. All but 9 of the kites are yellow.
4. All but 9 of the kites are green.
5. All but 9 of the kites are blue.
This means that the total number of kites minus the number of kites of each color is 9.
Let the total number of kites be "N."
· The number of red kites is "N - 9."
· The number of yellow kites is "N - 9."
· The number of green kites is "N - 9."
· The number of blue kites is "N - 9."
Approach:
Each color (red, yellow, green, and blue) has "N - 9" kites, but there are only "N" kites in total, so there is exactly one kite of each color that is not included in the count for each color.
Thus, the total number of kites is 9 plus one kite for each color (one red, one yellow, one green, and one blue). Therefore, the total number of kites is:
N = 9 + 3 = 12.
Final Answer:
The boy has 12 kites.
Correct Option: (a) 12.

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