Question

£730 is divided between June, Sushil & Fiona so that June gets twice as much as Sushil, and Sushil gets three times as much as Fiona. How much does Sushil get?

Answer 1

Sushil gets $219.

Explanation:

With the information provided, you can write the following equations:

It says that £730 is divided between June, Sushil & Fiona, which can be expressed as:

x+y+z=730 (1), where:

x is the amount June gets

y is the amount Sushil gets

z is the amount Fiona gets

Also, the statement indicates that June gets twice as much as Sushil which means that the amount June gets is equal to two for the amount Sushil gets:

x=2y (2)

Besides, you know that Sushil gets three times as much as Fiona which means that the amount Sushil gets is equal to 3 for the amount Fiona gets:

y=3z (3)

Now, you can replace (3) in (1) and (2) and you will have 2 new equations:

x=2(3z)

x=6z (4)

x+3z+z=730

x+4z=730 (5)

You have the following equations:

x=6z (4)

x+4z=730(5)

Next, you can replace (4) in (5) and solve for z:

6z+4z=730

10z=730

z=730/10

z=73

Now, you can replace the value of z in (3):

y=3z

y=3(73)

y=219

Finally, you can replace the value of y in (2):

x=2y

x=2(219)

x=438

According to this, the answer is that Sushil gets $219.