Explanation

The total food required for $x$ cows over 150 days is:

$$\text{Total food}=x\times 150$$

When the number of cows is reduced by 10, i.e., $x - 10$, the food lasts for 10 more days, meaning it lasts for 160 days. So, the total food required for x-10 cows over 160 days is:

$$\text{Total food}=(x-10)\times 160$$

Since the total amount of food remains constant in both cases, we can equate the two expressions for total food: x

$$x\times 150=(x-10)\times 160$$

Explanation

Let the number of sweets Roni gives to Tony be x.

After giving x sweets: Roni will have 2 25−x sweets.

Tony will have 55+x sweets.

We want Tony to have four times as many sweets as Roni, so: 55 + x = 4 ( 25 − x )

1. Expand the equation:

   $$55 + x = 100 - 4x$$
   

2. Add $4x$ to both sides to combine the $x$-terms:

   $$55 + 5x = 100$$
   

3. Subtract 5 from both sides:

   $$\mathrm{<font\; color="\#0000ff">5</font>}\mathrm{<font\; color="\#0000ff">x</font>}<font\; color="\#0000ff">=</font>\mathrm{<font\; color="\#0000ff">45</font>}$$5x = 45
   

4. Solve for $x$:

   $$$$x=45/5=9x 
   

Explanation

Let's break down the given information:

• Total people: 200
• People who like tennis: 90
• People who like cricket: 108
• People who like both: 46

To find the people who like neither, we can use the following formula:

Total people = People who like tennis only + People who like cricket only + People who like both + People who like neither

Let's find the people who like only tennis and only cricket:

• People who like only tennis = Total tennis players - People who like both = 90 - 46 = 44
• People who like only cricket = Total cricket players - People who like both = 108 - 46 = 62

Now, we can plug these values into the formula: 200 = 44 + 62 + 46 + People who like neither

People who like neither = 200 - 44 - 62 - 46 = 48

Therefore, 48 people like neither tennis nor cricket.

So, the answer is 48.

Explanation

The temperature in Murree at noon was 16.6°C, and at midnight, it was 20.4°C lower.

To find the temperature at midnight, subtract 20.4°C from the noon temperature:

$$16.6°C - 20.4°C = -3.8°C$$

Explanation

We are given:

• 4 boxes with weights: 20 kg, 30 kg, 50 kg, and 70 kg.

We need to determine which total weight cannot be made by combining these boxes.

Let's check the combinations:

1. 20 + 30 + 50 + 70 = 170 kg
2. 20 + 30 + 50 = 100 kg
3. 20 + 30 + 70 = 120 kg
4. 20 + 50 + 70 = 140 kg
5. 30 + 50 + 70 = 150 kg

Now check if 160 kg can be made:

• The possible combinations do not result in 160 kg.

Explanation

1. Pearl Tower is taller than Sky Tower but shorter than Ocean Tower — This gives:
   Ocean Tower > Pearl Tower > Sky Tower.

2. Ocean Tower and MCB Tower are of the same height — So,
   Ocean Tower = MCB Tower.
   Therefore, we have:
   Ocean Tower = MCB Tower > Pearl Tower > Sky Tower.

3. Pearl Tower is shorter than Bahria Tower — This gives:
   Bahria Tower > Ocean Tower = MCB Tower > Pearl Tower > Sky Tower.

Now, we know the following order from tallest to shortest:
Bahria Tower > Ocean Tower = MCB Tower > Pearl Tower > Sky Tower.

The second shortest building is Pearl Tower, as it is just above Sky Tower.

Explanation

Explanation

We're given:

1. A + B + C = 112
2. B = A - 12
3. C = 2B

We can substitute B in the first equation using the second equation:

A + (A - 12) + C = 112 2A + C - 12 = 112 2A + C = 124

Now, we can substitute C using the third equation:

2A + 2B = 124

We know B = A - 12,

so: 2A + 2(A - 12) = 124 2A + 2A - 24 = 124 4A = 148 A = 37

Now we can find B and C: B = A - 12 = 37 - 12 = 25 C = 2B = 2 * 25 = 50

Therefore, C gets $50.

Explanation

We are given:

• A got more points than B but less than C.
• D got less points than E but more than A.
• C gets less than D.

We know the following:

• C > A > B
• E > D > A
• C < D

Thus, the points order is:

• E has the highest points.

Explanation

To find the number of sides of a regular polygon, we can use the formula:

Number of sides = 360 / exterior angle

In this case: Number of sides = 360 / 36 = 10

A polygon with 10 sides is called a decagon.