Question

the density of a certain material is such that it weighs 2 ounces for every 1.8 milliliters of volume. express this density in grams per fluid - ounce. round your answer to the nearest whole number.
note: you must use these exact conversion factors to get this question right.
weight / mass volume
1 pound (lb) = 16 ounces (oz) 1 cup (cup) = 8 fluid ounces (fl oz)
1 ton (ton) = 2000 pounds (lb) 1 pint (pt) = 2 cups (cup)
1 ounce (oz) = 28.35 grams (g) 1 quart (qt) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (g) 1 gallon (gal) = 4 quarts (qt)
1 pound (lb) = 0.454 kilograms (kg) 1 liter (l) = 1000 milliliters (ml)
1 cubic meter (m³) = 1000 liters (l)
1 gallon (gal) = 3.785 liters (l)
1 fluid ounce (fl oz) = 29.574 milliliters (ml)

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Given $m = 2$ ounces and $V=16.9$ milliliters. First, convert ounces to grams and milliliters to fluid - ounces.
1 ounce ($oz$) = 28.35 grams ($g$), so $m = 2\times28.35=56.7$ grams.
1 fluid - ounce ($fl\ oz$)=29.574 milliliters ($ml$), so $V = 16.9\ ml=\frac{16.9}{29.574}\ fl\ oz\approx0.571\ fl\ oz$.

Step2: Calculate density in grams per fluid - ounce

$
ho=\frac{m}{V}=\frac{56.7}{0.571}\ g/fl\ oz\approx99\ g/fl\ oz$.

Answer:

99