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If 115 people each produce 356 pens in a day, what is the total production number?

A) 40,490
B) 39,940
C) 40,940
D) 39,490

Answer :

To find the total production, we multiply the number of people by the number of pens each person produces. In mathematical terms, if there are [tex]$115$[/tex] people and each produces [tex]$356$[/tex] pens, the total production [tex]$T$[/tex] is given by

[tex]$$
T = 115 \times 356.
$$[/tex]

We can break down the multiplication step-by-step. One way to do this is by using the distributive property. Notice that

[tex]$$
115 = 100 + 15.
$$[/tex]

Then,

[tex]$$
115 \times 356 = (100 + 15) \times 356 = 100 \times 356 + 15 \times 356.
$$[/tex]

Calculating each term separately:

1. For the first term:
[tex]$$
100 \times 356 = 35600.
$$[/tex]

2. For the second term:
[tex]$$
15 \times 356.
$$[/tex]

To compute [tex]$15 \times 356$[/tex], you might break it down further:

[tex]$$
15 \times 356 = (10 \times 356) + (5 \times 356) = 3560 + 1780 = 5340.
$$[/tex]

Now, adding the two results together:

[tex]$$
35600 + 5340 = 40940.
$$[/tex]

Thus, the total production is

[tex]$$
T = \boxed{40940}.
$$[/tex]

So, the final answer is [tex]$\boxed{40,940}$[/tex], which corresponds to option C.

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