Word Problems Review

In mathematics education, the term word problem is often used to refer to any mathematical exercise where significant background information on the problem is presented as text rather than in mathematical notation. As word problems often involve a narrative of some sort, they are occasionally also referred to as story problems and may vary in the amount of language used.(Source - Wikipedia )
In this article of word problems review, we are going to review some of the basic word problems.

I like to share this Statistics Example Problems with you all through my article.


Review on word problems through examples:

Example 1:

An Auditorium has 1020 seats. 875 of them are occupied. What percentage of the seats are occupied?

Solution:

Number of seats in Auditorium  = 1020

Number of seats occupied        =  870

Percentage of the seats occupied  = `<< 870/1020>>`   x 100

=  `<< 87/102>>` x 100

=  85.29

Example 2:

In a Theatre, there are 400 persons consists of men, women, and children.There are four times as many men as children, and thrice as many women as children. How many of children are there?

Solution:

Let 'x' be the number of children.

Then the number of men = 4x and the number of women = 3x

So, the equation is      x + 4x + 3x = 400

8x = 400

x = 400 / 8

x = 50

Example 3:

A train 300 m long is running at a speed of 70 km/hr. What time will it take to cross a 50 m long bridge?

Solution:

In order to cross the bridge, the train will have to cover

distance = ( 300 + 50 )

= 350 m

Speed     = 70 x `<< 5/18>>`

= `<< 175/9>>`

= 19.44 m/s

Required time    = Distance / Speed

= `<< 350/19.44>>`

= 18 sec

Example 4:

A customer deposits an amount of $3000 in his account. The bank offers a interest of 2.5%. Calculate the simple interest for the customer earn in 7 years?

Solution:

Interest rate (r) = 2.5% = 0.025

Amount   (P) = $3000

time (t) = 7 years

Simple interest formula

I = P r t

I = 3000 × 0.025 × 7

= 5000 × 0.15

= $ 525

Practice problems for Review:

1) Adam deposits an amount of $6500 in his account with an interest of 4.5%. Calculate the simple interest that he earn in 5 years?

2) An Auditorium has 950 seats. 855 of them are occupied. What percentage of the seats are occupied?

Answer key:        1) $ 1462.5         2) 90 percent