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. 1764 — ConceptWhen a total and the percentage for one group are known, the count in the complementary group equals total × (100% − given percentage). For several…
- A.
882
- B.
1704
- C.
1764
- 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
Monday: 640 × (100% − 30%) = 640 × 70% = 448.
Tuesday: 880 × (100% − 65%) = 880 × 35% = 308.
Wednesday: 540 × (100% − 80%) = 540 × 20% = 108.
Thursday: 760 × (100% − 25%) = 760 × 75% = 570.
Friday: 550 × (100% − 40%) = 550 × 60% = 330.
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.