Question

At 4 p.m., one-third of the $x$ number of people in the tourist place visited the park. At 5 p.m., another 25 people came to the park, so the number of people in the park increased to 130.
Derive the algebraic equation for the above comprehension <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

• A. $130=\frac{1}{3}x+25$
• B. $130=3x+25$
• C. $130=3x+25$
• D. $130=3-x+25$

Answer 1

The correct option is A $130=\frac{1}{3}x+25$

There is $x$ number of people in the tourist place, with one-third of them visiting the park around 4 p.m.

At 4 p.m
Number of people at 4 p.m = one-third of x number of people in the tourist place
$=\frac{1}{3}\text{of}x=\frac{1}{3}\times x$

At 5 p.m
Number of people joined at 5 p.m = 25

Now, the total number of people = 130
Total number of people = Number of people at 4 p.m + Number of people joined at 5 p.m
$\Rightarrow 130=\frac{1}{3}\times x+25$
$\Rightarrow 130=\frac{1}{3}x+25$