Slimesewer

There are 100 balls in a bag.

Number of Red Balls = 0.25 * 100

                                  = 25/100 * 100 = 25

   Remaining Balls = 100 - 25 = 75

   Let there be x blue balls.

              Green Balls = 1/4x

                x + 1/4x = 75

               (4x + x)/4 = 75

                          5x = 75 * 4

                            x = (75¹⁵ * 4)/5

                               x = 60

There are 60 blue balls.

In box B, 3/8 is silver

      so, 1 - 3/8 = 5/8 is bronze

the total coins in box B is

     85 / 5/8 = 136

1/5 of the coins are in box A

so, the 136 coins in box B one 1 - 1/5 = 4/5 of all the coins 

136 / 4/5 = 170

Thus, the coins in box A is

        170 * 1/5 = 34

Cost of helmet = 5/7 * cost of skateboard

Cost of helmet + 44 = cost of skateboard

5/7 * cost of skateboard + 44 = cost of skateboard

                     2/7 cost of skateboard = 44

                     cost of skateboard = $154

                     cost of helmet = 154 - 44 = $11

Money given to Dean = 154 + 110 = $264

The money given are

                Claire : Dean : Eden = 3:8:9.

                                   8x = 264

                                     x = 33

               Claire's money = 3x = $99

               Eden's money = 9x = $297

Let x = number of boys

Let y = number of girls 

Let s = number of stickers

2/3s/x = 1/10 (2/3 s)

x = 10 (2/3) (3/2)

x = 10 boys 

s/3/y = 1/5 (s/3)

y = 5 (3) (1/3)

y = 5 girls

Let Jet had money x

then John had 1176 - x

money left after John spent 1/9 = 8/9x

money left after John spent 1/3, = 2/3 (1176 - x)

Since both had same money left

So, 8/9x = 2/3 (1176 - x)

=> 8/9x = 784 - 2/3x

=> 14/9x = 784 => x = 504

So, Initally Jet had 504 and John had 672. In the end Jet will have 504 * 8/9 = 448

and John will have 672 * 2/3 = 448

Let the area of small square he S

Shaded area be x.

Unshaded area be y.

as the largest square is made up of shaded and unshaded area So area of largest square = x + y.

Now given ratio of area of smallest square to largest square is 2:9.

i.e.                   S/(x + y) = 2/9 - 1

ratio of shaded area & unshaded area is 3:7.

(Shaded area)/(Unshaded area) = 3/7

x/y = 3/7

7x = 3y

y = 7/3x

put value of y in 1

S/(x + 7/3x) = 2/9

9s = 2(x + 7/3x)

9s = 20x/3

27/20 = x/s

27/20 = (Shaded area)/(Smallest Square)

Ratio of shaded area to the area of smallest square is 27:20

Let C - total rest of the flat

     x  - Adam's savings

     y - Bill's savings

     z - Carl's savings

Thus we know

C = 1/2x + 6/7y + 3/4z

Where 1/2x = 4/7y = 3/4z

Because the three of them shared the cost equally.

Now, y + z - 6/7y - 3/4z = 44,820

         1/7 + 1/4z = 44,820,

Since 6/7y = 3/4z,

         z = 4/7 (y)

         z = 8/7y

Hence,

       1/7y + 1/4 (y) = 44,820

       1/7 + 2/7y = 44,820

       3/7y = 44,820

            y = 7/3 (44,820)

            y = 104,580

Since z = 8/7y

          z = 8/7 (104,580)

          z = 119,520

Also,

Since 1/2x = 6/7y,

      x = ²(6/7)y

      x = 12/7y

      x = 12/7 (104,580)

      x = 179,280

Now, the total cost of the flat is

C = 1/2x + 6/7y + 3/4z

C = 1/2 (179,280) + 6/7 (104,580) + 3/4 (119,520)

C = 89,640 + 89,640 + 89,640

C = 268,920

Thus, the answers should be

(a) $268,920

(b) Adam's savings: $179,280

      Bill's saving: $104,580

      Carl's savings: $119,520

w + x = 1/2

w + x + y + z = 1

y + z = 1 - (w + x)

y + z = 1 - 1/2

y + z = 1/2

y = 2z

2z + z = 1/2

3z + 1/2

z = 1/6

y + 1/6 = 1/2
y = 1/2 - 1/6

y = 1/3

x/w = 1/3

3x = w

w + x = 1/2

3x + x = 1/2

4x = 1/2

x = 1/8

x + y = 1/8 + 1/3 = 11/24

Let x = number of people

∴ 2/3 (x) = 2x/3 wearing hats

∴ not wearing hats = 

x - 2x/3 = (3x - 2x)/3 = x/3, now 3/5 wearing T-shirts, So 

x/3 (3/5) = 3x/15, So, not wearing T-shirts, x/3 - 3x/15 = (5x - 3x)/15 = 2x/15, now, 2x/15 = 840

x = 420 (15) = 6300

Total = 6300

Let x = John's stamps

2/7 is equal to Lawrence's stamps
1/5x = 2/7 (350)

1/5x = 100

x = 500 stamps