Question

In a tank of water, a can of regular soda will sink to the bottom, but a can of diet soda will float.

Answer 1

Over 140 times bigger because 25 cm³ of sugar is 40 grams (25×1.6)
and .2 cm³ of aspartame is 0.27 grams (0.2×1.35)
and 40 is 148 times as big as 0.27 (0.27×148.1481481≈40)

Answer 2

Answer:

Over 140 times as great the mass of the sugar in regular soda as the mass of the sweetener in diet soda.

Step-by-step explanation:

In Regular Soda

Volume of sugar = $25 cm^3$

Density of table sugar = $1.6 g/cm^3$

$mass = volume \times density$

So, Mass of Sugar in regular soda = $25 \times 1.6$

                                                        = $40 g$

In Diet Soda

Volume of aspartame = $0.2 cm^3$

Density of aspartame = $1.35 g/cm^3$

$mass = volume \times density$

So, Mass of aspartame in diet soda = $0.2 \times 1.35$

                                                           = $0.27 g$

So, now to find How many times as great is the mass of the sugar in regular soda as the mass of the sweetener in diet soda:

$\frac{\text{Mass of Sugar}}{\text{mass of aspartame}}$

$\frac{40}{0.27}$

$148.1481$

Hence Over 140 times as great the mass of the sugar in regular soda as the mass of the sweetener in diet soda.

Thus Option D is correct.