apsiganocj

Let no of apples in carton = x

When Packed in days of 4. then remaining

apples 3.

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When Packed in days of 6 then Remaining

apples = 3.

for finding least number we will find the

LCM of two numbers . (4,6)

       4 = 2 * 2 * 1

       6 = 2 * 3 * 1 
   LCM= 2 * 2 * 3 * 1 = 12

   (4,6)

Now remainder is always 3. So add 3.

in LCM. (12 + 3) = 15.

[ Total apples  =  15 apples. in carton. ]

Let's show our steps by getting an answer instead of saying an answer without showing steps and also not make mistakes.

Number of non-venomous violet vipers

                                                 = 23

 Number of non-venomous vermillion

                 vipers = 23 - 10 = 13

 Total number of non-venomous

      vipers = 23 + 13 = 36

Number of Venomous vipers

           = 36 [ Venoumous vipers

                      = Non-Venomous vipers ]
Number of venomous violet vipers

                      = 3/4 * 36 = 27

So, Number of venomous vermillion

                  Vipers = 1/4 * 36 = 9

      There are \(\boxed{9}\)venomous vermilion vipers in Vennsylania zoo.

It was also answered here

Let total straw be \(x\)
 

Alisson's share = \( {x\over 2}{}{}+8\)
Remaining = \(x - \)\(( {x \over 2} + 8) = {x \over 2} -8\)
Jennifer's share = \( ({x \over 4} - 4) + 8 = {x \over 4} + 4\)
Remaining = \(( {x \over 2} + 8) - ({x \over 4} + 4) = {x \over 4} - 12\)
Laura's share = \(({x \over 8} - 6) +\)Remaining

Remaining = \( ({120 \over 8}- 6) + 9 = 18\)
x% of 120 = 18 ⇒ \(x = 15\)
Laura's share = 15%

The number of boys 8. Hence, the number of girls is 20 – 8 = 12.

The number of boys, who have a speaking part in the play is 5. Hence, the number of boys, who do not have a speaking part in the play is 8 – 5 = 3.

The number of girls, who do not have a speaking part in the play is 7. Hence, the number of girls, who have a speaking part in the play is 12 – 7 = 5.

Hence, consider the below contingency table:

Gender  Speaking part in play  No speaking part in play  Row Total 
Boy          5                                 3                                     8

Girl          5                                 7                                     12

Column Total 10                       10                                     20 

The total number of children, who have a speaking part is 10.

Thus, if a child from the cast of the play is chosen at random, the probability that the child has a speaking part is 10/20 = 1/2 = 0.5.

Straightforward. First, assign variables to the unknown values:

Let H = Henry’s money
Let B = Badminton Racket
Let W = Watch

We are given:
B = 3/8 H
W = 1/8 H
B = W + $14

So:
Substitute B and W:
3/8 H = 1/8 H + $14 [Cost of Badminton racket = $14 more than cost of watch]

Solving:
3/8 H - 1/8 H = $14
(3/8–1/8) H = $14
2/8 H = $14
1/4 H= $14
H = 4 * $14 = $56 [Henry’s total money]
B = 3/8 * $56 = $21 [Cost of badminton racket]
W = 1/8 *$56 = $7 [Cost of watch]

Check:
B = W + $14
$21 =? $7 + $14
Yes! 

Henry spent B+W on his items altogether, which is $21+$7 = $28.

Another way of expressing it is:
2/8 H = $14
1/8 H = $7

B+W = 3/8 H + 1/8 H = (3+1)/8 H = 4/8 H = 1/2 H.
H = $56
B+W = 1/2 H = $28

Let Jervin share =A

 Ken share = B

Leon share =C

From the given information,

1/5th of Jervin's and Leon's share equal to 2/3rd share of Ken's

1/5 (A+C)=2/3(B) 

3A+3C=10B 

3A-10B=-3C      .........(1)

1/3th of Jervin's and Ken's share equal to 3/4rd share of Leon's

1/3 (A+B)=3/4 (C)  .

4A+4B=9C               .........(2)

And Leon paid 5 more than Ken

C=B+5

Solving (1) and (2)

4×(1)>>>12A-40B=-12C..........(3)

3×(1)>>>12A+12B=27C  ...........(4)

(4)-(3)>>> (12A+12B)-(12A-40B)=27C+12C

              52B=39C

          4B=3C

Put C=B+5 in above equation

4B=3(B+5)

4B=3B+15

B=15

C=B+5

 =15+5

=20

Put B and C in (2)

4A+4B=9C

4A+4(15)=9(20)

4A=180-60

4A=120

A=30

The gift cost=A+B+C

                      =30+15+20

                      =65

Answer: Gift cost is 65$

I will solve this question in elementary way

(a)     the cost of each poster was 3 

times the cost of each card, so the money 

for 1 poster can buy 3 card

                 5 * 3 = 15

               15 + 11 = 26

         So he can buy 26 cards

(b)   3/4 of his remaining money = 3/4 * (1 - 1/3)

       is 1/2 of his all money       = 3/4 * 2/3

                                                 = 1/2

        1/2 / 1/3 * 26 = 3/2 * 26 = 39

             39 / 3 = 13

             13 + 5 = 18

        So he bought 18 posters