To find out how many model airplanes Jeremy built, you need to divide the total hours he worked by the number of hours it takes to build one airplane.
Jeremy worked for 812 hours and each airplane takes 125 hours to make.
Calculating the number of model airplanes built can be represented as: \[ \text{Number of models} = \frac{\text{Total hours}}{\text{Hours per model}} = \frac{812}{125} \]
Now, performing the division: \[ 812 \div 125 = 6.496 \]
This means Jeremy built 6 complete models with a fraction of a model left over. To express this, we can represent the decimal as a fraction. The fractional part is approximately \(0.496\), which can be calculated precisely as follows:
- Calculate how many hours it took to build 6 models: \[ 6 \times 125 = 750 \text{ hours} \]
- Subtract this from the total hours: \[ 812 - 750 = 62 \text{ hours left} \]
- To find out how much of another model he can build with the remaining hours, divide the leftover hours by the hours needed for one model: \[ \frac{62}{125} \]
Thus, the total number of models built can be expressed as: \[ 6 + \frac{62}{125} = 6 \frac{62}{125} \]
The correct answer is approximately \(6 \frac{62}{125}\), which translates to \(6 \frac{1}{2} \text{ models}\).
However, let's check the options provided:
- 6114 models
- 6 Start Fraction 1 over 14 End Fraction models
- 10119 of a model
- Start Fraction 10 over 119 End Fraction of a model
- 11910 models
- 11 Start Fraction 9 over 10 End Fraction models
- 1485 of a model
- Start Fraction 14 over 85 End Fraction of a model
The fractional part \( \frac{62}{125} \) approximately equals \(0.496\), which you can express as close options.
None of these options seem to represent \(6 \frac{62}{125}\) accurately, but the closest representation might relate to \(6 \frac{1}{2}\).
Since we cannot find a match explicitly listed, if you need to choose the best response based on proximity to the calculated amount, pick \(6 \frac{1}{4}\) based on a general estimate (though exact matches are unavailable among choices).
Please recheck the question for potential typographical errors or missed contexts in options— the answer should solidly reflect the division done above yielding \(6 \frac{62}{125}\).
3 answers