Multiple choice

A pack of cream cheese contains cream and cheese mixtures in the ratio 5 : 3. If 75 ml of cheese mixture is added to the pack, the ratio becomes 5 : 6. What is the quantity (in ml) of cream mixture in the pack?

  1. 125 ml

  2. 120 ml

  3. 140 ml

  4. 65 ml

  5. 90 ml
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A Correct answer
Explanation

Let the initial quantities of cream and cheese be 5x and 3x respectively. Adding 75 ml of cheese makes the new ratio 5x / (3x + 75) = 5/6, which simplifies to 6x = 3x + 75, so x = 25. The initial quantity of cream is 5x = 5 * 25 = 125 ml.

AI explanation

Let the initial quantities of cream and cheese be 5x and 3x. After adding 75 ml of cheese, the equation becomes 5x divided by (3x + 75) equals 5 divided by 6. Solving this yields 30x = 15x + 375, which simplifies to x = 25. Therefore, the quantity of cream is 5 times 25, which is 125 ml.

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