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

Answer:

June gets $\£50$

Step-by-step explanation:

Let

x ----> amount of money Nick gets

y ----> amount of money June gets

we know that

$\frac{x}{y}=\frac{4}{5}$ -----> equation A

$x=40$ ----> equation B

solve the system by substitution

substitute equation B in equation A

$\frac{40}{y}=\frac{4}{5}$

solve for y

Multiply in cross

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

$y=\£50$