Question

how many gallons of gasoline that is 5thanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 3thanol? select one: a. 4,115 b. 6,000 c. 3,000 d. 1,800

Answer 1

the correct answer is c. 3,000 gallons.

Step-by-step explanation:

To find the amount of gasoline with 5% ethanol that must be added to 2,000 gallons of gasoline with no ethanol to achieve a mixture containing 3% ethanol, you can set up a mixture equation.

Let x represent the number of gallons of 5% ethanol gasoline to be added.

The total gallons of ethanol in the 5% ethanol gasoline will be 0.05x, and the total gallons of ethanol in the 2,000 gallons of pure gasoline will be 0. Then, when you combine them, you want to have a mixture of 3% ethanol.

So, you can write the equation:

(0.05x + 0) / (x + 2000) = 0.03

Now, solve for x:

0.05x = 0.03(x + 2000)

0.05x = 0.03x + 60

0.05x - 0.03x = 60

0.02x = 60

x = 60 / 0.02

x = 3000

So, you need to add 3,000 gallons of gasoline with 5% ethanol to the 2,000 gallons of pure gasoline to get a mixture containing 3% ethanol.

Therefore, the correct answer is c. 3,000 gallons.