In a box,
number of red buttons:
number of blue buttons
= 5: 3

number of blue buttons:
number of green buttons
= 1: 2

there are 48 green buttons in the box.
work out the number of red buttons in the box.

Number of red buttons = 40

Step-by-step explanation:

red : blue = 5:3

blue : green = 1:2

Green is 48.

We find blue first.

blue : green = blue / green

1:2 = 1/2

b - blue

1/2 = b/48

Cross multiply

48 × 1 = 2 × b

48 = 2b

48 ÷ 2 = b

24 = b

Blue : Green = 24 : 48

Now we find red.

red : blue = red / blue

5 : 3 = 5 / 3

r - red

5/3 = r/24

Cross multiply.

5 × 24 = 3 × r

120 = 3r

120 ÷ 3 = r

40 = r

9 x 8 divided by (5-3)=36

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: