Natasha and Richard win some money and share it in the ratio 5:1. Natasha gets £60 more than Richard. How much did they get altogether?

£90

Step-by-step explanation:

Given the ratio of 5:1, total denominator is 5+1=6. Therefore, Natasha's proportion is 5/6 while Richard gets 1/6.

The differences in proportion is 5/6-1/6=4/6

This difference of 4/6, simplified as 2/3 is equivalent to £60

Therefore, 3/3=1 is given by cross multiplication

Total proportion is £60*3/2=£90

In this case, Natasha gets 5/6 of 90=5/6*90=75 while Richard gets 1/6 of 90=1/6*90=15

The difference is 75-15=60

In concljsion, they altogether get £90

i could probably can you me with a question of mine?

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: