A vitamin's expiration date has passed. The label states each tablet contains calcium 450 mg, but 125 mg of calcium deteriorates after the expiration date. What is the current total amount of calcium left per tablet?

 

The ratio 17:1000=X:10 can be written in proportion as:

\(\frac{17}{1000}=\frac{X}{10}\)

The value of X is determined by cross-products

\(17\ast10=1000X\)

170=1000X

Divide both sides by 1000

\(\frac{170}{1000}=\frac{1000X}{1000}\)

0.17=X

Thus, the value of X is 0.17

Looking at the four given decimals, we can arrange them from the smallest to the largest as

\(0.0788<0.76<0.767<0.79\)

Thus, 0.79 is the largest decimal.

Convert the mixed fractions into improper fractions as:

7 3/10 =\(\frac{\left(10\ast7\right)+3}{10}=\frac{70+3}{10}=\frac{73}{10}\)

3 2/5 =\(\frac{\left(5\ast3\right)+2}{5}=\frac{15+2}{5}=\frac{17}{5}\)

Now, subtract the improper fractions as:

\(\frac{73}{10}-\frac{17}{5}=\frac{73-17\left(2\right)}{10}=\frac{73-34}{10}=\frac{39}{10}\)

Use the relation 1 gallon =128 ounce to change 5 gallons to ounces as follows

\( 5\ gallons\ast\frac{128\ ounces}{1\ gallon}=640\ ounces \)

Thus, 5 gallons is equal to 640 oz.