Question

a popular sport drink uses sugar as a sweetener. the radio of a pints of sport drink to grams of sugar is 5:16.erika only wants to consume 4 grams of sugar from her sports drink. how many pints of the spors drink can erika drink?

Answer 1

`\text{Answer: Erika can drinks 1}(1)/(4)\text{ pints of sport drink containing 4 grams of sugar}`

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

`\begin{gathered} (16x)/(16)\text{ = }(20)/(16) \\ x\text{ = }(5)/(4) \\ x\text{ = 1}(1)/(4) \\ \text{Erika can drinks 1}(1)/(4)\text{ pints of sport drink containing 4 grams of sugar} \end{gathered}`