Question

What is the approximate percentage decrease in the number of boys in school D in the year 2017 as compared to the previous year?

• A. 17%
• B. 12%
• C. 9%
• D. 5%
• A. 46%
• B. 52%
• C. 58%
• D. 65%
• A. 760
• B. 800
• C. 860
• D. 600

Answer 1

The Correct Option is A

To find the approximate percentage decrease in the number of boys in School D in 2017 compared to the previous year (2016), we need to follow these steps:

1. Identify the number of boys in School D for the years 2016 and 2017 from the given data.
2. The number of boys in School D in 2016 is \(6.4 \times 100 = 640\) and in 2017 it is \(5.3 \times 100 = 530\).
3. Calculate the decrease in the number of boys from 2016 to 2017:

\(\text{Decrease} = 640 - 530 = 110\) 

1. Calculate the percentage decrease using the formula:

\(\text{Percentage Decrease} = \left(\frac{\text{Decrease}}{\text{Original Number}}\right) \times 100 = \left(\frac{110}{640}\right) \times 100\)

\(\approx 17.19\%\)

Thus, the approximate percentage decrease in the number of boys in School D in 2017 compared to 2016 is 17%, which makes the correct answer 17%.

Answer 2

1. First, identify the number of girls in School B for the year 2018. According to the given data, School B in 2018 has \(5.9 \text{ hundred girls }\), which is \(590\) girls. 
2. Next, find the total number of students in School E for the year 2015. According to the data:
   • Boys in 2015: \(5.5 \text{ hundred } = 550\)
   • Girls in 2015: \(3.6 \text{ hundred } = 360\)
   • Total students in School E in 2015: \(550 + 360 = 910\)
3. To find what percentage the number of girls in School B in 2018 is of the total number of students in School E in 2015, use the percentage formula:
   • Formula: \(\left( \frac{\text{Number of Girls in School B (2018)}}{\text{Total Students in School E (2015)}} \right) \times 100\)
   • Substitute the values: \(\left( \frac{590}{910} \right) \times 100\)
   • Calculation:
     • \(\frac{590}{910} \approx 0.64835\)
     • \(0.64835 \times 100 \approx 64.835\)
   • Therefore, the number of girls in School B in 2018 is approximately \(65\%\)of the total number of students in School E in 2015.
4. Compare the calculated percentage with the given options:
   • 46%
   • 52%
   • 58%
   • 65%
5. The correct answer is indeed 65% as calculated.

Answer 3

The question is about finding the average number of girls in School A from the given data over multiple years. Let's solve this step-by-step:

Identify the number of girls in School A for each year from the table provided: 

• 2014: 3.6 (in hundreds, hence, 360 girls)
• 2015: 4.2 (in hundreds, hence, 420 girls)
• 2016: 6.9 (in hundreds, hence, 690 girls)
• 2017: 9.6 (in hundreds, hence, 960 girls)
• 2018: 12.9 (in hundreds, hence, 1290 girls)
• 2019: 14.4 (in hundreds, hence, 1440 girls)

Calculate the total number of girls in School A over all the years:

\(360 + 420 + 690 + 960 + 1290 + 1440 = 5160\) girls

Determine the number of years considered:

There are 6 years (2014 to 2019).

Compute the average number of girls over these years:

\(\text{Average} = \frac{5160}{6} = 860\)

Thus, the average number of girls in School A over the considered years is 860.