WRITING AND SOLVING ONE STEP MULTIPLICATION AND DIVISION PROBLEMS

About "Writing and solving one step multiplication and division problems"

Writing and solving one step multiplication and division problems :

In this section, we are going to see how word problems can be solved using one step multiplication division.

Writing and solving one step multiplication and division problems - Examples

Example 1 :

When we multiply a number by 4, we get 124. Find the number.

Solution :

Let "x' be the required number.

According to the question, we have

4x = 124

Here "x" is multiplied by "4". To get rid of 4, we have to divide by 4 on both sides and solve the equation as explained below.

4x / 4 = 124 / 4

x = 31

Hence, the required number is "31".

Example 2 :

When we divide a number by 7, we get 14. Find the number.

Solution :

Let "m' be the required number.

According to the question, we have

m / 7 = 14

Here "m" is divided by "7". To get rid of 7, we have to multiply by 7 on both sides and solve the equation as explained below.

(m/7) x 7 = 14 x 7

m = 98

Hence, the required number is "98".

Example 3 :

Alex borrowed some money from Jose. After 3 years, Alex returned 2 times of borrowed money to Jose. If the returned money is $226, how much money did Alex borrow from Jose ?

Solution :

Let "x' be the borrowed money.

According to the question, we have

2x = 226

Here "x" is multiplied by 2. To get rid of 2, we have to divide by 2 on both sides and solve the equation as explained below.

2x / 2 = 226 / 2

x = 113

Hence, the borrowed money is $113.

Example 4 :

David has some money. He gave one fourth of the money to Lily. If Lily gets $8 from David, how much money did David have initially ?

Solution :

Let "m' be the money that David had initially.

According to the question, we have

m / 4 = 32

Here "m" is divided by "4". To get rid of 4, we have to multiply by 4 on both sides and solve the equation as explained below.

m/4 x 4 = 32 x 4

m = 128

Hence, David had $128 initially.

Example 5 :

In a deposit, invested money will become 4 times itself in 5 years. If Rosy receives $3280 after five years, how much money did Rosy invest ?

Solution :

Let "m' be the money that Rosy invested.

According to the question, we have

4m = 3280

Here "m" is multiplied by "4". To get rid of 4, we have to divide by 4 on both sides and solve the equation as explained below.

4m / 4 = 3280 / 4

m = 820

Hence, Rosy invested $820.

Example 6 :

Jacob has some number of candies and Michael has 35 candies. If Michael has candies 5 times as Jacob, how many candies does Jacob have ?

Solution :

Let "p' be the number of candies that Jacob has.

According to the question, we have

5p = 35

Here "p" is multiplied by "5". To get rid of 5, we have to divide by 5 on both sides and solve the equation as explained below.

5p / 5 = 35 / 5

p = 7

Hence, Jacob has 5 candies.

Example 7 :

Daniel had some hot dogs and he gave one third of the hot dogs to Alex. If Alex gets 8 hot dogs from Daniel, how many hot dogs did have initially ?

Solution :

Let "h" be the number of hot dogs that Daniel had initially.

According to the question, we have

m / 3 = 8

Here "m" is divided by "3". To get rid of 3, we have to multiply by 3 on both sides and solve the equation as explained below.

m/3 x 3 = 8 x 3

m = 24

Hence, Daniel had 24 hot dogs initially.

Example 8 :

Between the hours of 10 P.M. and 6 A.M., the temperature decreases an average of of a degree per hour. How long, in hours and minutes, will it take for the temperature to decrease by 5 °F ?

Solution :

Write an equation. Let x represent the number of hours it takes for the temperature to decrease by 5 °F.

(-3/4)x = -5 ----> -3x/4 = -5

Solve the equation using an inverse operation.

Multiply both sides by - 4/3.

(-4/3).(-3x/4) = -5.(-4/3)

x = 20/3 = 6 2/3

It takes 6 2/3 hours.

Convert the fraction of an hour to minutes.

2/3 hours x 60 min / 1 hr = 40 minutes

It takes 6 hours and 40 minutes for the temperature to decrease by 5 °F.

We hope that the students would have understood the stuff given on "Writing and solving one step multiplication and division problems"

Apart from the stuff given in this section, if you want to know more about "Writing and solving one step multiplication and division problems", please click here.

For your doubts and clarifications on "Writing and solving one step multiplication and division problems", please mail us : v4formath@gmail.com

Apart from "Writing and solving one step multiplication and division problems", if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...