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:
[tex]\frac{70}{510}\text{ ounces/calories}[/tex]With this rate, we can determine how many calories are in 35 ounces of the drink.
[tex]\begin{gathered} \frac{70}{510}\text{ ounces/calories }=\frac{35}{x}\text{ ounces/calories} \\ \\ \text{where,} \\ x\text{ is the number of calories in 35 ounces of the drink.} \\ \\ \frac{70}{510}=\frac{35}{x} \\ \text{Making x the subject of the formula, we have:} \\ \\ x=\frac{510\times35}{70} \\ \\ \therefore x=255\text{ calories} \end{gathered}[/tex]Answer
The answer is 255 calories
