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 from a total of 900 light bulbs, where 13% are broken, we can set up the equation as follows:

1. Calculate 13% of 900: \[ \text{Number of broken light bulbs} = 0.13 \times 900 \]

This can also be expressed as: \[ \frac{13}{100} \times 900 \]

Now, let's analyze the options provided:

1. Option 1: \[ \frac{13 \times 9}{100 \times 9} = \frac{117}{900} \] This could work because if you simplify it, it represents the proportion of broken bulbs.

2. Option 2: \[ \frac{13 \times 9}{900 \times 9} = \frac{117}{8100} \] This does not represent the correct equation for calculating broken bulbs.

3. Option 3: \[ \frac{100 \div 9}{900 \div 9} = \frac{11.1}{100} \] This does not appear relevant to the question.

4. Option 4: \[ \frac{900 \div 9}{13 \div 9} = \frac{100}{1.4} \] This also does not relate to the calculation of broken bulbs.

The best choice that represents the equation to find the number of broken light bulbs (specifically showing how 13% applies) is Option 1: \[ \frac{13 \times 9}{100 \times 9} = \frac{117}{900} \]

This way, you can understand it leads to how many light bulbs were broken out of the total of 900 by using the percentage.

So, the correct answer is Option 1.