Explanation

Explanation

Total students = 27

Since 7 more girls than boys, let's represent the number of boys as x.

Number of girls = x + 7

Total students = Boys + Girls

27 = x + (x + 7)

Combine like terms:

27 = 2x + 7

Subtract 7:

20 = 2x

Divide by 2:

10 = x

Number of boys = 10

Number of girls = 10 + 7 = 17

Therefore:

Total girls in the class = 17

Last verified on 06-03-2026

Explanation

80 percent of 700 is 560.

80 percent *700

= (80/100)*700

= (80*700)/100

= 56000/100 = 560

Explanation

A and B together can complete the work in 3 days, so their combined rate of work is 1/3 per day.

They work together for 2 days, so they complete 2/3 of the work.

B leaves, and A completes the remaining 1/3 of the work in 2 days. This means A's rate of work is 1/6 per day (since A completes 1/3 of the work in 2 days).

Now, we know B's rate of work is the difference between their combined rate and A's rate: (1/3 - 1/6) = 1/6 per day.

Since B can complete the entire work in x days, B's rate of work is also 1/x per day.

Equating the two expressions for B's rate of work, we get: 1/6 = 1/x --> x = 6

So, B alone can complete the work in 6 days.

Explanation

Step 1: Multiply the number of students in each class by their pass percentage

- Class 1: 10 students × 20% = 2 passed  

- Class 2: 20 students × 30% = 6 passed  

- Class 3: 30 students × 60% = 18 passed  

- Class 4: 40 students × 100% = 40 passed  

Step 2: Add total passed students and total students

- Total passed = 2 + 6 + 18 + 40 = 66  

- Total students = 10 + 20 + 30 + 40 = 100

Step 3: Calculate the overall percentage

Pass % = (66 / 100) × 100 = 66%

Explanation

1 kilometre is equal to 1000 metres.

Explanation

Total students = 95  

Girls = 45  

So, Boys = 95 - 45 = 50

Ratio of boys to girls = 50 : 45

Simplify by dividing both by 5:

= 10 : 9

Explanation

- 9 - x = ?

- 25 - 9 = 16  

- 48 - 25 = 23  

- 81 - 48 = 33  

- 121 - 81 = 40  

Now look at the differences: 16, 23, 33, 40

Now check differences of differences:

- 23 - 16 = 7  

- 33 - 23 = 10  

- 40 - 33 = 7  

There’s a slightly alternating pattern in second differences: 7, 10, 7...

Assuming this pattern continues backward, before 16, we should subtract 10 (alternating) ⇒ 16 - 10 = 6

So:  

9 - x = 6 ⇒ x = 3

Explanation

1. We are given that 1/2 inch is equal to 12 kilometers.

2. We want to find the distance in kilometers for 5-2/3 inches. First, let's convert the mixed number to an improper fraction:

5-2/3 = 17/3 inches

3. Now, let's set up a proportion using the given conversion factor:

(1/2 inch) / 12 km = (17/3 inches) / x km

4. We can then cross-multiply and solve for x:

(1/2) × x = (17/3) × 12
x = (17/3) × 12 / (1/2)
x = (17/3) × 24
x = 136 km
So, the distance in kilometers is 136 km.

Explanation

Let's evaluate the expressions using the given definition of a * b:

3 * 4 = 3 + 4 + (3)(4) = 3 + 4 + 12 = 19

2 * 3 = 2 + 3 + (2)(3) = 2 + 3 + 6 = 11

Now, let's subtract:

3 * 4 - 2 * 3 = 19 - 11 = 8