Across all six years, what is the ratio of the total number of employees in…
2024
Across all six years, what is the ratio of the total number of employees in Office A to the total number in Office B?
Answer: B. 41:26 — ConceptTo compare accumulated quantities, first add all observations for each group over the same period. A ratio a:b is reduced by dividing both terms by…
- A.
2:1
- B.
41:26
- C.
19:11
- D.
11:19
Show answer & explanation
Correct answer: B
Concept
To compare accumulated quantities, first add all observations for each group over the same period.
A ratio a:b is reduced by dividing both terms by their greatest common divisor (GCD); this preserves the comparison.
Application
Office A total = 290 + 256 + 272 + 366 + 320 + 300 = 1,804.
Office B total = 176 + 152 + 192 + 184 + 214 + 226 = 1,144.
The GCD of 1,804 and 1,144 is 44, so 1,804:1,144 = (1,804 ÷ 44):(1,144 ÷ 44) = 41:26.
Office | Six-year total |
|---|---|
A | 1,804 |
B | 1,144 |
Cross-check
Multiplying both reduced terms by 44 gives 41 × 44 = 1,804 and 26 × 44 = 1,144, which reproduces the two totals.
Result
The required ratio is 41:26.