Math

QuestionBeregn det oprindelige beløb for de angivne dele og procenter. Afrund til 2 decimaler.

Studdy Solution

STEP 1

Assumptions1. The part of the whole is given. The percentage that this part represents is given3. We need to find the original whole amount4. The percentage is calculated as a one-time calculation, not compounding5. The whole amount can be found by dividing the part by the percentage (in decimal form)

STEP 2

First, we need to find the whole amount. We can do this by dividing the part by the percentage (in decimal form).
Whole=PartPercentageWhole = \frac{Part}{Percentage}

STEP 3

Now, plug in the given values for the part and percentage to calculate the whole for the first sub-problem (a).
Whole=8930%Whole = \frac{89}{30\%}

STEP 4

Convert the percentage to a decimal value.
30%=0.330\% =0.3Whole=890.3Whole = \frac{89}{0.3}

STEP 5

Calculate the whole amount.
Whole=890.3296.67Whole = \frac{89}{0.3} \approx296.67

STEP 6

Repeat the steps for the remaining sub-problems (e, b, f, c, d).For sub-problem (e):
Whole=14242%=1420.42338.10Whole = \frac{142}{42\%} = \frac{142}{0.42} \approx338.10For sub-problem (b):
Whole=3252%=320.5261.54Whole = \frac{32}{52\%} = \frac{32}{0.52} \approx61.54For sub-problem (f):
Whole=2264%=220.6434.38Whole = \frac{22}{64\%} = \frac{22}{0.64} \approx34.38For sub-problem (c):
Whole=178%=1780.072542.86Whole = \frac{178}{\%} = \frac{178}{0.07} \approx2542.86For sub-problem (d):
Whole=8598%=850.9886.73Whole = \frac{85}{98\%} = \frac{85}{0.98} \approx86.73The whole amounts for each sub-problem are approximately296.67,338.10,61.54,34.38,2542.86, and86.73 respectively.

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