Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken?

Question

StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction
StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction
StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction
StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction

Answer 1

To find the number of broken light bulbs, we need to calculate 13% of 900 bulbs.

The equation that represents this calculation can be written as:

\[ \text{Number of broken light bulbs} = \frac{13}{100} \times 900 \]

This can be simplified to:

\[ \text{Number of broken light bulbs} = \frac{13 \times 900}{100} \]

From the options presented, we are looking for a similar equation. The first option:

\[ \frac{13 \times 9}{100 \times 9} = \frac{117}{900} \]

can be rewritten effectively, since \(13 \times 900\) becomes \(11700\) when we multiply both the numerator and denominator by 10. This matches our calculation of finding the number of broken bulbs because:

\[ \frac{11700}{100} = 117 \]

Thus, the first choice shows an appropriate representation for finding the number of broken light bulbs:

\[ \frac{13 \times 9}{100 \times 9} = \frac{117}{900} \]

So the correct equation that can be used to find the number of broken light bulbs is:

StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction.