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A jumbo size 70 ounce drink at a certain gas station has 510 calories. How many calories are there in a 35 ounce drink?

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We have been told that 70 ounces of a drink have 510 calories. This means that the rate at which ounces varies with respect to calories can be easily determined to be:


(70)/(510)\text{ ounces/calories}

With this rate, we can determine how many calories are in 35 ounces of the drink.


\begin{gathered} (70)/(510)\text{ ounces/calories }=(35)/(x)\text{ ounces/calories} \\ \\ \text{where,} \\ x\text{ is the number of calories in 35 ounces of the drink.} \\ \\ (70)/(510)=(35)/(x) \\ \text{Making x the subject of the formula, we have:} \\ \\ x=(510*35)/(70) \\ \\ \therefore x=255\text{ calories} \end{gathered}

Answer

The answer is 255 calories

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