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2/3rd of the balls in a bag are blue, the rest are pink.
if 5/9th of the blue balls and 7/8th of the pink balls are
defective, find the total number of balls in the bag given
that the number of non defective balls is 146.
Read Solution (Total 9)
-
- let the total number of balls be x
blue balls = 2/3*x rest remaining means 1-2/3 = 1/3x
given condition 5/9th of blue and 7/8th of pink balls are defective
i.e., 5/9 * 2/3x + 7/8* x/3= x-146 (given total number of non defectives = 146)
(80x+63x)/216 = x-146
143x/216 = x-146
x- 143x/216 = 146 => 73x/216 = 146 => x/216 = 2
x= 432 - 6 years agoHelpfull: Yes(19) No(2)
- let the total number of balls be x
blue balls = 2/3*x rest remaing means 1-2/3 = 1/3x
given condition 5/9th of blue and 7/8th of pink balls are defective
i.e., 5/9 * 2/3x + 7/8* x/3=146 (given toatal number of defectives = 146)
(80x+63x)/216 = 146
143x = 31,536
x = 220.53 - 6 years agoHelpfull: Yes(4) No(10)
- let the total no of ball= x
no of blue balls= 2/3x
rest no of balls i.e. pink= 1-2/3x= 1/3x
condition is:-
defective blue balls = 5/9
defective pink balls = 7/8
then the total balls=
5/9*2/3x + 7/8*1/3x = 146
0.37x + 0.29x = 146
0.66x = 146
x = 221.21 Ans - 6 years agoHelpfull: Yes(2) No(0)
- let the total number of balls be x
blue balls=2/3*x, pink ball=1-2/3=1/3x
now from this question,
non-defective ball(blue)=1-5/9=4/9,& pink=1/8
equation,
(2/3x*4/9)+(1/3x*1/8)=146
x=490.56 - 6 years agoHelpfull: Yes(2) No(0)
- Let, Total number of balls in a bag = X.
2/3*X = Blue balls
1/3*X = Pinks balss
5/9*2/3*X + 7/8*1/3 = 146
On solving , X = 438. - 6 years agoHelpfull: Yes(1) No(6)
- let x be the number of balls .
blue balls: 2x/3
red balls: 1x/3
blue defected balls: (2x/3)*(5/9)
blue non defective balls:(2x/3)*(4/9)
red defected balls: (1x/3)*(7/8)
red non defective balls: (2x/3)*(1/8)
total non defective balls: (2x/3)*(4/9)+(1x/3)*(1/8)=146
8x/27+x/24 =146
64x/216+9x/216=146
73x/216=146
73x=146*216
x=(146*216)/73
x=432
i.e the total number of balls is 432 - 4 years agoHelpfull: Yes(1) No(0)
- LCM of denominators(3, 9, 8)=3X9X8
B--->(2/3)3X9X8--->2x9x8
P---->(1/3)3X9X8--->9X8
DB--->(5/9)X2X9X8-->5x2x8-->80
DP--->(7/8)X9X8--->7x9-->63
TD-->143
T ND-->3X9X8-143-->216-143=73
But T ND is 146
so, (146/73)X3x9X8=216x2=432 Ans. - 6 years agoHelpfull: Yes(0) No(1)
- Let the total numbers of the ball in a bag be x.
Blue balls = 2/3 of x
Pink ball = x - 2x/3
= x/3
Now,
Defective Blue balls = 5/9 of (2/3 of x)
= 5/9 × 2/3 × x
= 10/27 × x
Defective Pink balls = 7/8 of x/3
= 7x/24
Now, According to the Question, Defective Blue and Pink balls = 146
10x/27 + 7x/24 = 146
⇒ (80x + 63x)/216 = 146
∴ 143x = 146 × 216
⇒ x = 220.53
≈ 221 balls.
Hence, the total numbers of the ball in a a bag is 221 balls. - 6 years agoHelpfull: Yes(0) No(2)
- 5/9 × 2/3 × x
= 10/27 × x
Defective Pink balls = 7/8 of x/3
= 7x/24
Now, According to the Question, Defective Blue and Pink balls = 146
10x/27 + 7x/24 = 146
⇒ (80x + 63x)/216 = 146
∴ 143x = 146 × 216
⇒ x = 220.53
≈ 221 balls. - 5 years agoHelpfull: Yes(0) No(1)
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