Ushil & June share a lottery win of £1850 in the ratio 1 : 4.
Sushil then shares his part between himself, his wife & their son in the ratio 6 : 3 : 1.
How much more does his wife get over their son?

sushil share =1850*1/5=370

june share=1850*4/5=1480

wife of sushil =370*3/10=111

son share=370*1/10=37

The answer is £74

Step-by-step explanation: If Ushil and June share the total sum of 1850 in the ratio of 1 : 4, then we can express their ratio as follows,

Ushil = 1/5 of the total (that is 1/5 x 1850)

June = 4/5 of the total (that is 4/5 x 1850). The ratio of 1 : 4 means everything would be shared in fives, so for every £5, Ushil takes £1 and June takes £4, and so on. Therefore, Ushil’s share would be

Ushil = 1/5 x 1850

Ushil = 370

Now the question goes further to state that he shares this among himself, his wife and their son in the ratio 6 : 3 : 1. In the same way we computed the ratios for Ushil and June, we shall also do for Ushil, his wife and their son. Since they would be sharing in tens (that is 6 + 3 + 1 equals 10) his wife’s share would be

Wife = 3/10 x 370

Wife = £111

And that if his son would be

Son = 1/10 x 370

Son = £37.

Now that we know how much the wife and son are receiving each, we can tell how much more the wife is getting more than their son which is simply the difference between their shares

£111 - £37 which is £74.

Step-by-step explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one.  Let's solve for X.

x - y = 2

    add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5