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A drink bottler needs to fill $20$ one-pint bottles, and he has two tanks: one that contains $2$ gallons of soda, and a second that contains $3$ gallons. Which will he need to fill the bottles?

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Identify quotients of rational numbers: word problems

Full solution

Q. A drink bottler needs to fill

20

one-pint bottles, and he has two tanks: one that contains

2

gallons of soda, and a second that contains

3

gallons. Which will he need to fill the bottles?

Convert to Gallons: Step $1$ : Convert the number of bottles to gallons. $\newline$ - There are $2$ pints in a gallon. $\newline$ - $20$ pints $\div$ $2$ pints/gallon = $10$ gallons needed.
Check Soda Availability: Step $2$ : Check the total amount of soda available in the tanks. $\newline$ - Tank $1$ has $2$ gallons. $\newline$ - Tank $2$ has $3$ gallons. $\newline$ - Total soda available = $2$ gallons + $3$ gallons = $5$ gallons.
Compare Soda Needed: Step $3$ : Compare the amount of soda needed with the amount available. $\newline$ - $10$ gallons needed $>$ $5$ gallons available.

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