College

A pound of sugar weighs approximately [tex]4.5 \times 10^2[/tex] grams. If each grain of sugar weighs [tex]6.25 \times 10^{-4}[/tex] of a gram, which is the best estimate for the number of grains of sugar in a 5-pound bag?

A. [tex]3.6 \times 10^7[/tex] grains
B. [tex]3.6 \times 10^6[/tex] grains
C. [tex]3.6 \times 10^8[/tex] grains
D. [tex]3.6 \times 10^5[/tex] grains

Answer :

The best estimate for the number of grains of sugar in a 5-pound bag is: B. 3.6 × 10⁶ grains.

What is a proportion?

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Next, we would determine the total number of grains of sugar in a 5-pound bag as follows:

Total number of grains of sugar = 4.5 × 10² × 5

Total number of grains of sugar = 2,250 grams.

Now, we would divide the total number of grains of sugar in a 5-pound bag by the weight of each grain of sugar as follows:

Number of grains of sugar = 2,250/ 6.25 × 10⁻⁴

Number of grains of sugar = 3.6 × 10⁶ grains.

Read more on number of grains here: https://brainly.com/question/28707274

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