maryampatel1610 maryampatel1610
  • 17-12-2019
  • Mathematics
contestada


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

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calculista
calculista calculista
  • 30-12-2019

Answer:

June gets [tex]\£50[/tex]

Step-by-step explanation:

Let

x ----> amount of money Nick gets

y ----> amount of money June gets

we know that

[tex]\frac{x}{y}=\frac{4}{5}[/tex] -----> equation A

[tex]x=40[/tex] ----> equation B

solve the system by substitution

substitute equation B in equation A

[tex]\frac{40}{y}=\frac{4}{5}[/tex]

solve for y

Multiply in cross

[tex](40)(5)=y(4)\\y=200/4[/tex]

[tex]y=\£50[/tex]

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