Mixed Word Problems

Introduction:

                A mixed word problems contain different types of word problems. The types of word problems are age problem, percent problems, quadratic problems, etc, to find the solution for the word problems first step is to analyze the word problem. After analyzing the problem use the appropriate method to find the answer.

Example on Mixed Word Problems

Example 1- Mixed word problems:

Kevin is two times old as john. The sum of their age is 30. Find the age of Kevin and john.

Solution:

Given Kevin is two times old as john.

So K = 2J `=>` 1

The sum of their age is 30

So, K+J = 30 `=>` 2

Now substitute the equation 1 in equation 2

2J + J = 30.

3J = 30

Now divide by 3 on both sides

3J/3 = 30/3

J = 10.

Substitute the value of J in equation 1 to find the value of K.

K= 2 (10)

K = 20.

Kevin’s age is 20 and John’s age is 10.

Example 2 - Mixed word problems:

What is 8 percent of 100?

Solution:

Given, what is 8 percent of 100

Let us take unknown as x, is is same as =, of refers ()

So what is 8 percent of 100

x = 8 %( 100)

8% = 8 /100

So the above expression would be

x = 8/100(100)

x= 8.

So 8 is 8 percent of 100.

More Example on Mixed Word Problems:

Example 3 - Mixed word problems:

The area of the rectangle is 24 cm² and the perimeter of the rectangle is 20cm

Solution:

Given, Area of the rectangle = 24cm² and the perimeter of the rectangle is 20cm.

The formula to find the area of the rectangle is length * width

The formula to find the perimeter of the rectangle is 2*(length + width)

Let us take l as length and w as width.

l*w =24

Divide by w on both sides

l= 24/w`=>` 1

2(l+w) =20

Divide by 2 on both sides

l+w =10`=>`

24/w + w =10

24+w² =10w

w² -10w +24 =0

w² – 6w-4w +24 =0

Take w as common from first two terms

w(w-6)-4w+24=0

Take -4 as common from last two terms

w (w-6)-4(w-6)=0

(w-6)(w-4)=0

w=6 or w=4

Now substitute w=6 and w=4 in equation 1 to find the corresponding length

When w=6`=>` l=24/6 `=>` l=4

When w=4`=>` l=24/4`=>` l=6

The length of the rectangle =6 and the width of the rectangle =4.