Question

Sam and Beth an share 54 in the ratio 5:4 how much does one person get

Answer 1

let share of sam be 5x

then share of beth be 4x

5x+4x = 54

9x = 54

x= 54/9

x=6

share of sam = 5x =5× 6 = 30

share of beth = 4x = 4× 6=24

Answer 2

Amount that they shared = 54
Ratio at which they share = 5:4

Let the HCF(Highest Common Factor) be x
Sam: 5 = 5x
Beth: 4 = 4x

Now, the equation formed is as follows:
54 = 5x + 4x

Solution:
54 = 9x
x = 54/9
x = 6

Now, since (x = 6),
Sam: 5x = 5(6)
= 30

Beth: 4x = 4(6)
= 24

Thus, Sam gets 30 and Beth gets 24.

Hope it helps..