Babyhands4876 Babyhands4876
  • 01-09-2018
  • Mathematics
contestada

At a pond there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?

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Stephanielupiya Stephanielupiya
  • 01-09-2018
Twenty ducklings were swimming at the pond
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calculista
calculista calculista
  • 10-01-2019

Answer:

[tex]20\ ducklings[/tex]

Step-by-step explanation:

Let

x------> the number of ducklings

y------> the number of adult ducks

we know that

[tex]x+y=24[/tex] ------> equation A

[tex]\frac{x}{y}=\frac{5}{1}[/tex]

so

[tex]x=5y[/tex]

[tex]y=0.20x[/tex] ------> equation B

Substitute equation B in equation A

[tex]x+0.20x=24[/tex]

[tex]1.20x=24[/tex]

[tex]x=20\ ducklings[/tex]

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