Sara and Gordon win some money and share it in the ratio 2:1. Sara gets £20. How much did they win in total

They won £30 in total

Step-by-step explanation:

∵ Sara and Gordon win some money

∵ They share it in the ratio 2 : 1

∵ Sara gets £20

- To solve the problem lets use the ratio method

→  Sara  :  Gordon

→  2        :  1            

→  20      :  x          

By using cross multiplication

∵ 2 × x = 1 × 20

∴ 2 x = 20

- Divide both sides by 2

∴ x = 10

∵ x represents the share of Gordon

∴ Gordon gets £10

- Add their shares to find the total

∴ The total = 20 + 10 = 30

∴ They won £30 in total

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value