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**Hint:**Whenever a problem is given in words of mathematics we should always translate it to algebraic expressions. The hardest thing about doing word problems is using the part where you need to take the English words and translate them into mathematics.

Below some are the indicators to help you translate the word problem into mathematics.

Additionally, be written as:

Increased by

Combined together

Total of

For subtraction:

Decreased by

Minus, less

Difference between lot

Less than, fewer than

For multiplication:

Of

Times, multiplied by

Twice, triple

For division:

Per, a

Out of

Ratio of, quotient of

Percent (divide by $\text{100}$)

Equal pieces, split

Average

Equals:

Is, are, was, were, will be

Gives, yields

Sold for, cost

**Complete step by step solution:**Given sentence,

“number of days in a $\text{W}$ weeks”

Now, for this

Let’s assume the number of days in a week $\text{=d}$

Assuming there are $\text{7}$ days in a week

So the value of $\text{d=7}$

Let us assume total number at days $\text{W}$week $=D$

In one week there are $\text{7}$ days

Therefore, in $\text{W}$ week the number of days $=d\times W$

As we have assumed total number of days $\text{W}$ week is $D$ and number of days in a week $d$ i.e. $\text{7}$

So, the translation of the sentence “number of days in a $\text{W}$ weeks” into algebraic expression is $D=7\times W$

**Additional Information:**

The word problems in mathematics helps to understand the concept of other subjects such as physics and chemistry better by converting those words in mathematics. It is easier for students as well as for teachers to clear the concept of students.

Problem similar to this can cross you anywhere which is “number of pounds in $z$ ounces”

Since there are $16$ ounces in $1$ pound. Just divide the number ounces ($z$) by $16$ to get the number of pounds. $\dfrac{z}{16}$ will be the expression for the sentence number of pounds in $z$ ounces.

**Note:**

Read the word problem carefully and understand it mathematically. $\text{W}$ does not represent one week. It represents the number of weeks. $d$ is for a number of days in one week and $D$ is for a number of days in $\text{W}$ weeks.

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