If one sweetener packet of Splenda, Sweet’N Low, or Equal has the same sweetness as two tablespoons of sugar, according to Table 6.2, which of the packets contains the smallest amount of the sweetener?

Question

Accepted Answer

Welcome back everyone. If one packet of sweet W sweet X sweet Y or sweet Z provides the same sweetness as two tablespoons of sugar, which packet contains the least amount of sweetener. The relative sweetness of each sweetener compared to sugar is provided in the table below. So basically we're given the sweeteners wxynz and relative sweetness. It states that sucrose has relative sweetness of a 100. So what we're going to do is basically introduce an additional column and we are going to cool it sweetness relative to sea crows or basically times shes. And this column is going to tell us how many times each sweetener is sweeter than sugar. So what we want to do is basically divide each number by 100 because cros has a relative sweetness of 100. So 40,000 divided by 100 gives us 400. And now let's interpret this number. This number tells us that sweet W is 400 times sweet, sweeter than sugar. Now, for the next number, we have 30,000. When we divide that by 100 we get 300 followed by 25,000, divided by 100 which gives us 250 finally 50,000 divided by 100 gives us 500. So essentially what we can notice is that the biggest number is 500 it tells us that sweet Z is the sweetest of all right. And essentially, if we are looking for the least amount of sweetener, we are one to use the sweetener that has the highest sweetness relative to sucrose. And that would be sweet Z right? Because those are inversely proportional, the sweeter our sweetener is right, the less would be the amount of sweetener that we need to achieve the same sweetness. And therefore the final answer to this problem would be option D Suite Z is the final answer. Thank you for watching.

If one sweetener packet of Splenda, Sweet’N Low, or Equal has the same sweetness as two tablespoons of sugar, according to Table 6.2, which of the packets contains the smallest amount of the sweetener?

Verified video answer for a similar problem:

Key Concepts

Sweetness Comparison

Artificial Sweeteners

Measurement Units