Problem Solving

BTGmoderatorDC wrote:If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894

Given: 893 x 78 = P

893 x 79 = 893 x (78 + 1)
= (893)(78) + (893)(1)
= P + 893
= D

Cheers,
Brent

BTGmoderatorDC wrote:If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894

We are given that 893 x 78 = p and need to determine, in terms of p, the value of 893 x 79.

893 x 79 can be expressed as: 893 x (1 + 78) = 893 + 893 x 78.

Since p = 893 x 78, we can substitute p for 893 x 78 in the expression 893 + 893 x 78.

Thus, 893 x 79 = 893 + p

Alternate Solution:

The multiplication 893 x 78 means that we add 893 a total of 78 times, and this sum is equal to p. Now if we perform the multiplication problem 893 x 79, it means that we will add one more 893 to the previous sum, so we have p + 893 as our answer.

Answer: D