WRITING AND SOLVING ONE STEP MULTIPLICATION AND DIVISION PROBLEMS

Problem 1 :

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

Solution :

Let x be the number. 

Then, 

4x  =  124

Divide each side by 4. 

x  =  31

So, the number is 31.

Problem 2 :

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

Solution :

Let x be the number. 

Then,

x / 7  =  14

Multiply each side by 7. 

x  =  98

Problem 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. 

Then,

2x  =  226

Divide each side by 2.

x  =  113

So, the borrowed money is $113.

Problem 4 :

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

Solution :

Let x be the money that David had initially.

Then, 

x/4  =  32

Multiply each side by 4.

x  =  128

So, David had $128 initially.

Problem 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 x be the money that Rosy invested.  

Then,

4x  =  3280

Divide each side by 4. 

x  =  820

So, Rosy invested $820.

Problem 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 x be the number of candies that Jacob has. 

Then,

5x  =  35

Divide each side by 5.

x  =  7

So, Jacob has 7 candies.

Problem 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 x be the number of hot dogs that Daniel had initially. 

Then, 

x/3  =  8

x  =  24

So, Daniel had 24 hot dogs initially.

Problem 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 each side by - 4/3.

x  =  20/3

x  =  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.

Problem 9 :

After eating at the restaurant, Fred, Dan, and Tom decided to divide the bill evenly. If each person paid 18 dollars, what was the total of the bill?

Solution :

Let x be the total bill amount.

Amount paid by each person = $18

Number of persons = 3

x / 3 = 18

Multiplying by 3 on both sides, we get

x = 18(3)

x = 54

So, the total bill is $54.

Problem 10 :

Desiree made 100 cookies this week. She baked 4 more than three times the total she made last week. How many cookies did she bake last week.

Solution :

Number of cookies she made last week = x

3x + 4 = 100

Solving for x,

3x = 100 - 4

3x = 96

Dividing by 3, we get

x = 96/3

x = 32

So, the total numbers of cookies she made last week is 32.

Problem 11 :

Hunter bought a package of 24 pencils for $3.12. Write and solve an equation to determine the cost of each pencil in the package.

Solution :

Let x be the cost of each pencil.

Number of pencils in each package = 24

Cost of package = $3.12

24x = 3.12

x = 3.12/24

x = 0.13

So, cost of each pencil is $0.13.

Problem 12 :

Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?

Solution :

Let x be the number of games.

Rent = $3

Total bill = $21

3 + 4.75x = 21

4.75x = 21 - 3

4.75x = 18

x = 18/4.75

x = 3.78

Approximately 3 games.

Problem 13 :

Jasmine is 5 years younger than twice her sister’s age. If Jasmine’s sister is 22 years old. Then, how old is Jasmine?

Solution :

Based on the given conditions, formulate : 

22 × 2 − 5

Calculate the product or quotient : 44 - 5

Calculate the sum or difference = 39

 get the result = 39

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