Katrina drinks 10 fluid ounces of water for every 20 minutes of exercise. At this rate, how many fluid ounces of water does Katrina drink for 60 minutes of exercise?

Respuesta :

Answer:

30 fluid ounces of water

Step-by-step explanation:

To find out how many fluid ounces of water Katrina drinks for 60 minutes of exercise, we can set up a proportion based on the given information.

Katrina drinks 10 fluid ounces of water for every 20 minutes of exercise. This can be expressed as the ratio:

[tex]\dfrac{10 \;\textsf{fluid ounces}}{20\; \textsf{minutes}}[/tex]

To find out how many fluid ounces she drinks for 60 minutes of exercise, we need to set up a proportion where the ratio remains the same, where x represents the unknown number of fluid ounces she drinks for 60 minutes of exercise:

[tex]\dfrac{10 \;\textsf{fluid ounces}}{20\; \textsf{minutes}}=\dfrac{x \;\textsf{fluid ounces}}{60\; \textsf{minutes}}[/tex]

To solve for x, cross multiply:

[tex]10 \times 60 = 20 \times x\\\\\\600=20x[/tex]

Divide both sides by 20 to isolate x:

[tex]\dfrac{600}{20}=\dfrac{20x}{20}\\\\\\30=x[/tex]

Therefore, Katrina drinks 30 fluid ounces of water for 60 minutes of exercise.

msm555

Answer:

30 fluid ounces of water

Step-by-step explanation:

If Katrina drinks 10 fluid ounces of water for every 20 minutes of exercise, we can set up a proportion to find out how much she would drink for 60 minutes of exercise.

Let x be the amount of water she drinks for 60 minutes.

The proportion is:

[tex] \dfrac{10}{20} = \dfrac{x}{60} [/tex]

Now, cross-multiply and solve for x :

[tex] 20x = 10 \times 60 [/tex]

[tex] 20x = 600 [/tex]

[tex] x = \dfrac{600}{20} [/tex]

[tex] x = 30 [/tex]

Therefore, Katrina would drink 30 fluid ounces of water for 60 minutes of exercise at this rate.

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