Three hundred vehicles are parked in a parking garage. Seventy percent of the vehicles are midsized cars. Which equation can be used to find the number of midsized cars in the parking garage?

StartFraction 300 divided by 3 Over 70 divided by 3 EndFraction = StartFraction 100 Over 23.3 EndFraction
StartFraction 100 divided by 3 Over 300 divided by 3 EndFraction = StartFraction 33 Over 100 EndFraction
StartFraction 70 times 3 Over 300 times 3 EndFraction = StartFraction 210 Over 900 EndFraction
StartFraction 70 times 3 Over 100 times 3 EndFraction = StartFraction 210 Over 300 EndFraction

1 answer

To find the number of midsized cars in the parking garage, we need to determine 70% of 300 vehicles.

The equation to express this mathematically would be:

\[ \text{Number of midsized cars} = 0.7 \times 300 \]

Now, let's evaluate the given options to see which one relates correctly to this calculation.

  1. Option 1: \[ \frac{300 \div 3}{70 \div 3} = \frac{100}{23.3} \]

    • This does not correctly represent the calculation of 70% of 300.
  2. Option 2: \[ \frac{100 \div 3}{300 \div 3} = \frac{33}{100} \]

    • This also does not represent the calculation for 70% of 300.
  3. Option 3: \[ \frac{70 \times 3}{300 \times 3} = \frac{210}{900} \]

    • Simplifying this gives \( \frac{70}{300} \), which is equivalent to 70%, but it doesn't directly represent the 70% of 300 itself.
  4. Option 4: \[ \frac{70 \times 3}{100 \times 3} = \frac{210}{300} \]

    • This simplifies to \( \frac{70}{100} \) which is 70%, but still does not directly express the calculation of finding the number of midsized cars.

None of these options directly give the formula for finding the actual number of midsized cars (i.e., \( 0.7 \times 300 \)). However, the closest equation that relates to the 70% is Option 4 because it correctly represents the ratio of midsized cars (% of total).

Thus, while none of the options gives a completely accurate calculation of the number of midsized cars, Option 4 is the most related to the concept of 70% of a value.