A tank pumps out liquid at a rate of 12 gallons every 20 days.

What is the unit rate in gallons per week?

Enter your answer as a mixed number in simplest form.

____ gal/week

Question

High School

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Answer :

prerna00ira prerna00ira · Answer 1 · 2024-12-10T17:16:25-05:00

The unit rate is [tex]\(\frac{3}{5}\)[/tex] gallons per week, meaning 3 gallons every 5 weeks, simplified from [tex]\(\frac{12}{20}\)[/tex] .

To find the unit rate in gallons per week, we need to convert the given rate from days to weeks.

Given that there are 7 days in a week, we can set up a proportion to find the unit rate:

[tex]\[\frac{12 \text{ gallons}}{20 \text{ days}} = \frac{x \text{ gallons}}{1 \text{ week}}\][/tex]

To find (x), we can cross-multiply and solve for (x):

[tex]\[12 \times 1 = 20 \times x\]\[12 = 20x\]\[x = \frac{12}{20}\]\[x = \frac{3}{5}\][/tex]

So, the unit rate is [tex]\(\frac{3}{5}\)[/tex] gallons per week.