Question

sam and bethan share £54 in the ratio of 5:4
how mush would each person get

Answer 1

Answer:

5+4=9

now,

54×5/9=30

54×4/9=24

5:4=30:24

30+24=54

Answer 2

Answer:

∴ Share of Sam is £$30$ and Bethan is £$24$.

Step-by-step explanation:

• In context with question asked,
• We have to find the share that Sam and Bethan got each.
• It is given that, the total share = $54$
• The ratio of share of Sam and Bethan = $5:4$
• Let, $5x$ and $4x$ be the share got by Sam and Bethan.
• So, according to given data, the required equation is,

          $5x+4x=54$

               ∴ $9x=54$

               ∴ $x=\frac{54}{9}$

               ∴ $x=6$

• Now,

     Share of Sam = $5x=5\times6=30$£

     Share of Bethan = $4x=4\times6=24$£

• ∴ Share of Sam is £$30$ and Bethan is £$24$.