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Mathematics : asked on chaayap1985
 18.11.2022

In a box there are N red balls and three times as many as black balls.

(A) write an expression in terms of N to represent the total of numbers of balls in the box.

(B) 8 balls are removed from the box. There are 24 balls remaining. Form an equation in terms of N to show this.

(C) solve for N

. 1

Step-by-step answer

15.01.2023, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
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Answer:

(A) 4N
(B) 4N - 8 = 24
(C) N = 8

Step-by-step explanation:

Number of red balls = N

Number of black balls = 3 × N = 3N

(A) Total number of balls in the box = Number of red balls + Number of red balls

= N + 3N

= 4N

(B) After removing 8 balls, total number of balls left = 4N - 8

So, according to the question, 

4N - 8 = 24

(C) Solving for N, 

4N = 32

N = 32/4

Thus, 

N = 8

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