What is the total number of HDDs purchased by males from Shop B over all five…

2024

What is the total number of HDDs purchased by males from Shop B over all five days?

Answer: C. 1764ConceptWhen a total and the percentage for one group are known, the count in the complementary group equals total × (100% − given percentage). For several…

  1. A.

    882

  2. B.

    1704

  3. C.

    1764

  4. D.

    1664

Show answer & explanation

Correct answer: C

Concept

When a total and the percentage for one group are known, the count in the complementary group equals total × (100% − given percentage). For several days, calculate the complementary count for each day and add those daily counts.

Application

  1. Monday: 640 × (100% − 30%) = 640 × 70% = 448.

  2. Tuesday: 880 × (100% − 65%) = 880 × 35% = 308.

  3. Wednesday: 540 × (100% − 80%) = 540 × 20% = 108.

  4. Thursday: 760 × (100% − 25%) = 760 × 75% = 570.

  5. Friday: 550 × (100% − 40%) = 550 × 60% = 330.

  6. Total purchased by males = 448 + 308 + 108 + 570 + 330 = 1764.

Cross-check

The total number sold by Shop B is 640 + 880 + 540 + 760 + 550 = 3370. The female counts total 192 + 572 + 432 + 190 + 220 = 1606, and 3370 − 1606 = 1764, confirming the sum.

Result

The total number of HDDs purchased by males from Shop B over the five days is 1764.

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