Sam and Beth share £54 in the ration 5:4. Work out how much each person gets.

Sam: £30

Beth: £24

Step-by-step explanation:

5/9 * 54 = 30

4/9 * 54 = 24

Same gets £30 and Beth gets £24

Step-by-step explanation:

Ratios

the ratio of sam to beth is 5 : 4

Finding the amount sam gets

add 5 + 4 = 9. this value will be the denominator

= 5/9 * 54

= £ 30

Sam will get £ 30

Finding the amount Beth will get

add 4 + 5 = 9. this value will be the denominator

Note : when using ratios the denominators will be the same. (eg the denominator of 9 is used for both Sam and Beth.)

= 4/9 * 54

= £ 24

Beth will receive £ 24

hence Sam gets £30 while Beth gets £24