Answer:
[tex]3.5725 * 10^5[/tex]
Step-by-step explanation:
Given
There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.
Required
How many grains of sand would there be in a 5-gallon container?
Let x represent the number of grains in 5 gallon; So, From the question, we have that;
8 cups = 3.5725 * 10^4
5 gallon = x
Cross Multiply
x * 8 cups = 5 gallon * 3.5725 * 10^4
Recall that 1 gallon = 16 cups
[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]
[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]
Divide both sides by 8
[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]
[tex]x = 10 * 3.5725 * 10^4[/tex]
[tex]x = 3.5725 * 10^5[/tex]
Hence, the number of grains of sand in 5 gallon is [tex]3.5725 * 10^5[/tex]
