The table shows votes polled in a college election from 2018 to 2022, the percentage of valid votes, and the male:female ratio of valid votes. Dashes are missing values to be calculated if required.
| Year | Votes Polled | Valid (%) | Valid M:F Ratio |
|---|---|---|---|
| 2018 | — | — | 5:3 |
| 2019 | 1000 | — | 5:4 |
| 2020 | 2000 | 38 | — |
| 2021 | — | 60 | 7:5 |
| 2022 | 5000 | 40 | — |
If the average number of valid votes polled in 2019 and 2022 was 1270, then the number of valid votes polled by females in 2019 was
A270
B300
C210
D240 ✓ Correct
Correct answer: (D) 240
Explanation
The female valid votes in 2019 were 240, so the answer is 240.
The average of the 2019 and 2022 valid votes is 1270.
So their total is 1270 times 2, which is 2540.
In 2022 the valid votes are 5000 times 40 over 100, which is 2000.
So the 2019 valid votes are 2540 minus 2000, which is 540.
The 2019 male-to-female ratio is 5 to 4, so females are 4 of 9 parts.
So the female valid votes are 540 times 4 over 9, which is 240.
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