Multiple choice

A vintage museum owned by Mr. Daniels has 800 antique items for display, 25% of which are more than a century old. If Mr. Daniels wants to increase 10% of the items in his museum, how many of the additional antique items must be more than a century old in order to raise the percentage of antique items which are century old to 30%?

  1. 56

  2. 64

  3. 72

  4. 80

  5. 88
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial: 800 items, 25% = 200 old. New total = 880. Target: 30% of 880 = 264 old. Need 264 - 200 = 64 additional old items.

AI explanation

Initially, 25% of 800 items, which is 200 items, are more than a century old. A 10% increase in the collection adds 80 items, making the new total 880 items. To raise the percentage of century-old items to 30%, the museum needs 0.30 times 880, or 264 such items. Therefore, the number of additional century-old items needed is 264 minus 200, which is 64 items.

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