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There are k gallons of gasoline availabl...

There are k gallons of gasoline available to fill a tank. After d gallons have been pumped in terms of k and d, what percent of the gasoline has been pumped?

A

`(100d)/(k)%`

B

`(k)/(100d)%`

C

`(100k)/(d)%`

D

`(100(k-d))/(k)%`

Text Solution

AI Generated Solution

The correct Answer is:
To find out what percent of the gasoline has been pumped after d gallons have been pumped from a total of k gallons, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Total Amount of Gasoline**: - We know that the total amount of gasoline available is \( k \) gallons. 2. **Identify the Amount Pumped**: - The amount of gasoline that has been pumped is \( d \) gallons. 3. **Calculate the Fraction of Gasoline Pumped**: - To find the fraction of gasoline that has been pumped, we take the amount pumped \( d \) and divide it by the total amount \( k \): \[ \text{Fraction Pumped} = \frac{d}{k} \] 4. **Convert the Fraction to a Percentage**: - To convert the fraction into a percentage, we multiply it by 100: \[ \text{Percentage Pumped} = \left(\frac{d}{k}\right) \times 100 \] 5. **Final Expression**: - Thus, the percentage of gasoline that has been pumped is: \[ \text{Percentage Pumped} = \frac{100d}{k} \] ### Final Answer: The percentage of gasoline that has been pumped is \( \frac{100d}{k} \) percent. ---
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