Multiple choice

A 60 gallon mixture contains diesel and kerosene in the ratio of 2 : 3. How much diesel must be added so that the resulting mixture will contain diesel and kerosene in the ratio of 3 : 2?

  1. 20 gallons

  2. 30 gallons

  3. 40 gallons

  4. 50 gallons

  5. 60 gallons
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial mixture: 24 gal diesel, 36 gal kerosene. Let x be diesel added. (24+x)/36 = 3/2. 48 + 2x = 108, 2x = 60, x = 30.

AI explanation

The initial 60 gallon mixture contains 24 gallons of diesel and 36 gallons of kerosene based on the 2 to 3 ratio. Let x be the gallons of diesel to add, establishing the equation (24 plus x) divided by 36 equals 3 divided by 2. Solving this equation gives 48 plus 2x equals 108, meaning 2x equals 60 and x is 30 gallons.

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