Question

BRAINLIEST GIVEN NEED HELP ASAP Russell, Sarah, and Terry share money in the ratio 2:5:8. If Sarah gets an extra £120, she will have the same as Terry. Work out how much each gets.

Answer 1

Answer:

The amount of money Russel gets is $80

The amount of money Sara gets is $200

The amount of money Terry gets  is $320

Step-by-step explanation:

Let

x -----> amount of money Russel gets

y -----> amount of money Sara gets

z -----> amount of money Terry gets

we know that

x/y=2/5 -----> x=(2/5)y ----> equation A

x/z=2/8 ----> x=(2/8)z ----> equation B

y/z=5/8 ----> y=(5/8)z ---> equation C

z=y+120 ----> equation D

Substitute equation D in equation C and solve for y

$y=(5/8)(y+120)$

Multiply by 8 both sides to remove the fraction

$8y=5(y+120)\\8y=5y+600\\3y=600\\y=\ 200$

Find the value of z

$z=200+120=\ 320$

Find the value of x

$x=(2/5)y\\x=(2/5)(200)=\ 80$

therefore

The amount of money Russel gets is $80

The amount of money Sara gets is $200

The amount of money Terry gets  is $320