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Division Word Problems (2-step word problems)




 

Here are some examples of division word problems that can be solved in two steps. We will illustrate how block diagrams can be used to help you to visualize the division word problems in terms of the information given and the data that needs to be found.

Block diagrams are used in Singapore Math.

We also learn how to solve multiplication and division word problems by identifying key terms.


Example:

Marcus had 700 marbles. He gave away 175 marbles and put the remaining marbles equally into 5 bags. How many marbles were there in each bag?

Solution:

Step 1: Find how many marbles he had left.

700 – 175 = 525
He had 525 marbles left.

Step 2: Find the number of marbles in each box.

525 ÷ 5 = 105
There were 105 marbles in each box.

Example:

Rosalind made 364 donuts. She put 8 donuts into each box.
a) How many boxes of donuts were there? How many donuts were left over?
b) If she sold each box for $3, how much money would she receive?

Solution:

Step 1: Find the number of boxes of donuts.

364 ÷ 8 = 45 remainder 4
There were 45 boxes of donuts.
4 donuts were left over.

Step 2: Find how much money she would receive.

45 x 3 = 135
She would receive $135.



Translate multiplication and division word problems by identifying key terms

Solve multiplication and division word problems by identifying key vocabulary (part 1)
How to translate multiplication and division mathematic operations in word problems by first identifying the key term, and then pairing that term with the appropriate operation.
Solve multiplication and division word problems by identifying key vocabulary (part 2)
How to solve real-world problems involving multiplication and division, by using the given one-step equations.
Examples:
(1) Ms. Smith bought one piece of candy for each of the 22 students in her class. The total cost of her candy was $1.10. Solve the equation 22c= 1.10 to determine the cost of each piece of candy.
(2) Three friends went out to dinner together. They split the total bill evenly, amongst the three of them. Solve the equation b ÷ 3 = 7 to determine the amount of the total bill.
(3) Deja bought several books at her school's book sale. Each book cost $2. Deja spent a total of $14. Solve the equation 2b = 14 to determine how many books Deja purchased.


 
Example: Jeremy bought 8 identical pens and 5 identical notebooks. The cost of 8 pens is the same as the cost of 5 notebooks. Each notebook costs 30 cents more than each pen. How much did Jeremy spend altogether?
Solve multi step problems using multiple operations
Example: If a class has three cakes and each cake has 5 pieces with one piece for each student, how many pieces will be left over after each of the 12 students had a slice?


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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