Question

The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.

Answer 1

Answer:

The amount that Obi initially had was £20

Step-by-step explanation:

Let

x ----> amount that Obi initially has

y ----> amount that Rudy has

we know that

$\frac{x}{y} =\frac{5}{2}$

$x=2.5y$ ----> equation A

$x-20=y-8$

$y=x-20+8$

$y=x-12$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$y=(2.5y)-12$

solve for y

$2.5y-y=12\\1.5y=12\\y=8$

Find the value of x

$x=2.5(8)=20$

therefore

The amount that Obi initially had was £20