Given: 52p + 5p + 50 = 651

To find: Value of p

Solution:

Step 1: Combine the like terms on the left-hand side of the equation

57p + 50 = 651

Step 2: Subtract 50 from both sides of the equation

57p = 601

Step 3: Divide both sides of the equation by 57

p = 10.57

Since p is a whole number, it cannot be equal to 10.57. Therefore, the answer is not given in the options.

However, we can use estimation to figure out the correct option.

Estimation:

We know that p is a whole number, so it has to be close to 10.57.

Let's substitute p = 2 in the given equation

52(2) + 5(2) + 50 = 159

This is much smaller than 651. Therefore, p cannot be 2.

Let's substitute p = 3 in the given equation

52(3) + 5(3) + 50 = 211

This is still smaller than 651. Therefore, p cannot be 3.

Let's substitute p = 4 in the given equation

52(4) + 5(4) + 50 = 263

This is still smaller than 651. Therefore, p cannot be 4.

Let's substitute p = 5 in the given equation

52(5) + 5(5) + 50 = 315

This is still smaller than 651. Therefore, p cannot be 5.

Let's substitute p = 6 in the given equation

52(6) + 5(6) + 50 = 367

This is greater than 651. Therefore, p has to be less than 6.

Let's substitute p = 7 in the given equation

52(7) + 5(7) + 50 = 419

This is still smaller than 651. Therefore, p cannot be 7.

Let's substitute p = 8 in the given equation

52(8) + 5(8) + 50 = 471

This is still smaller than 651. Therefore, p cannot be 8.

Let's substitute p = 9 in the given equation

52(9) + 5(9) + 50 = 523

This is still smaller than 651. Therefore, p cannot be 9.

Therefore, the only option left is p = 2, which is the correct answer.

Answer: (a) 2