Answer:
None of the options are correct, the correct answer is 1,050 boys and 350 girls.
Explanation:
A ratio of 3:4 can be turned into a percentage by dividing 3 by 4. This would give us 0.75 or 75%. This means that the remaining 25% (100-75 = 25) are girls in this ratio. If there are 12 boys we can find the total amount by dividing 12 by 0.75 and then multiplying that answer by 0.25 (25%) in order to find the amount of girls in that ratio, like so...
12 * 0.75 = 16 total
16 * 0.25 = 4 girls
If there are a total of 1,400 students we can find how many are boys and how many are girls by simply multiplying by the percentages.
1,400 * 0.75 = 1,050 boys
1,400 * 0.25 = 350 girls.
Apparently, none of the options are correct, the correct answer is 1,050 boys and 350 girls.