Richard & Tanjeev share a lottery win of £5650 in the ratio 4 : 1. Richard 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?

Answer is 904

Refer below.

Step-by-step explanation:

5650 total,

And 4:1 which adds up and make 5. So,

5x = 5650

x=5650/5

x=1130

As pichard part is 4:1 so his part is 4 overall the money so,

Richard got 4x = 4 × 1130 = 4520

4520 now dividing in 6:3:1

10a = 4520

A= 452

Wife amount is 3a = 3 ×452 = 1356

Son is 1a so its,

Son = 452

Minus= 1356 -452 = 904

Wife got 904 more than son

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1