Explanation

Original: 1 teacher per 15 students → 1200 ÷ 15 = 80 teachers

New ratio: 3 teachers per 40 students → (1200 ÷ 40) × 3 = 30 × 3 = 90 teachers

Teachers joined = 90 - 80 = 10

Explanation

Let current ages be:

• Ahsan = $A$

• Shakeel = $S$
  

Condition 1 (Five years ago):

$$A-5=7(S-5)\text{(Equation 1)}$$

Condition 2 (Three years later):

$$A + 3 = 3(S + 3) quad text{(Equation 2)}$$

Solving the equations:

From Equation 1:

$$A - 5 = 7S - 35 Rightarrow A = 7S - 30 quad text{(Equation 3)}$$

Substitute into Equation 2:

$$(7S - 30) + 3 = 3(S + 3) Rightarrow 7S - 27 = 3S + 9 Rightarrow 7S - 3S = 9 + 27 Rightarrow 4S = 36 Rightarrow S = 9$$

Now, plug back to find Ahsan's age:

$$$$A = 7S - 30 = 7(9) - 30 = 63 - 30 = 33

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Calculate 25% of 30%: 0.25 x 0.30 = 0.075

Calculate 0.075 as a percentage of 45%: 0.075 x 0.45 = 0.03375

So, the correct answer is: 0.03375

Explanation

We are given:

Total weight of 5 boxes with soup = 75 kg

Weight of each empty box = 3 kg

Step 1: Calculate the total weight of empty boxes

Since there are 5 boxes and each empty box weighs 3 kg:

5 boxes×3 kg=15 kg (total box weight)

Step 2: Subtract the empty box weight from the total weight

75 kg (total)−15 kg (boxes)=60 kg (soup only)

Explanation

1. Count the number of desired outcomes:

- There are 11 white balls.

2. Count the total number of possible outcomes:

- There are 5 blue balls.

- There are 6 red balls.

- There are 11 white balls.

- Add these numbers together: 5 + 6 + 11 = 22 possible outcomes.

3. Calculate the probability by dividing the number of desired outcomes by the total number of possible outcomes:

- Probability = Number of desired outcomes / Total number of possible outcomes

- Probability = 11 / 22 = 0.5

Therefore, the probability of pulling out a white ball from the bag is 0.5, or 50%.

Explanation

The speed of the bus going from Islamabad to Murree was 100 km/h,

while the speed of the bus was 130 km/h when coming back from Murree to Islamabad.

200km/h was the average speed of is the whole journey

for time using this formula

Using speed = Time/ Distance​

Time= speed/  distance

for average speed in the whole journey using this formula:

Now, Average speed =  Time  (tot)/ Distance  (tot)

​​

Explanation

To find the mean, add the numbers and divide by the total count:

9 + 0 + 5 + 1 + 0 = 15

Total count = 5

Mean = 15 / 5 = 3

Explanation

To find the number of toys sold per day, divide the total number of toys by the number of days:

Toys sold per day = 48 toys/4-day 

=12 toys per day

Explanation

The ration of 1000 m to 600 m is  5:3.

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agm.5.3.23

Explanation