Question

Nick and June win some money and share it in the ratio 4:5. Nick gets £40. How much did June get?

Answer 1

June gets
`\£50`

Explanation:

Let

x ----> amount of money Nick gets

y ----> amount of money June gets

we know that

`(x)/(y)=(4)/(5)` -----> equation A

`x=40` ----> equation B

solve the system by substitution

substitute equation B in equation A

`(40)/(y)=(4)/(5)`

solve for y

Multiply in cross

`(40)(5)=y(4)\\y=200/4`

`y=\£50`