The total of two numbers is 2676. The bigger number is 5 times as much as the smaller number. What is thrice of the smaller number?

Let's denote the smaller number as x and the bigger number as y.

From the problem, we know that:

1. The total of two numbers is 2676, so we can write this as an equation: x + y = 2676.

2. The bigger number is 5 times as much as the smaller number, so we can write this as another equation: y = 5x.

Now we can substitute the second equation into the first one to solve for x:

x + 5x = 2676 6x = 2676 x = 2676 / 6 x = 446

So, the smaller number is 446.

The problem asks for thrice of the smaller number, so we multiply 446 by 3:

3 * 446 = 1338

So, thrice of the smaller number is 1338.