Answer:
Fiona gets £ 174
Step-by-step explanation:
Ths problem has three unknowns: the amounts each person gets. So let's identify each amount with a letter to write them in mathematical equation form:
Amount Sushil gets is : "x"
Amount Fiona gets is : "y"
Amount Pip gets is : "z"
Now we write three equations based on the information we have:
1) the addition of all these amounts should equal the 580 total:
x + y + z = 580
2) Sushil (x) gets twice as much as Fiona (y):
x = 2 y
3) Fiona (y) gets three times as much as Pip (z):
y = 3 z
So we can write the first equation in terms of "z" only, by using the appropriate substitutions in the intermediate stes:
Replace every instance of "y" with "3 z":
Equation 2 can give then "x" in terms of "z" as well:
x = 2 y = 2 (3 z) = 6 z
Then Eq 1 becomes:
6 z + 3 z + z = 580
10 z = 580
and therefore:
z = £ 58
Now Fiona's amount (y) is "3 times z", therefore:
y = 3 * 58 = £ 174
