The sport drink contains sugar as a sweetener.
The ratio of a pint of sport drink to grams of sugar is 5 : 16
This implies that for every 5 pints of sport drink you have 16 grams of sugar
Erika only wants to consume 4 grams of sugar from her sport drink. To know how many pints erika can consume, we need to establish a proportion
Let the how amount of pints be x
For every 5 pints of sport drink we have 16 grams of sugar
For every x pints of sport drin we have 4 grams of sugar
Mathematically,
5 = 16
x = 4
Cross multiply
5 * 4 = 16 * x
20 = 16x
16x = 20
Divide both sides by 16
[tex]\begin{gathered} \frac{16x}{16}\text{ = }\frac{20}{16} \\ x\text{ = }\frac{5}{4} \\ x\text{ = 1}\frac{1}{4} \\ \text{Erika can drinks 1}\frac{1}{4}\text{ pints of sport drink containing 4 grams of sugar} \end{gathered}[/tex]