Multi-step Problem Solving Involving Whole Numbers and Decimals

Multi-step Problem Solving Involving Whole Numbers and Decimals

by NENITA COLASITO

Multi-step word problems are a combination of fundamental operations which include hidden questions.       

Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems.

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​The problem below shows how to solve multi-step word problems.

​Rona and Joan are making facemasks for dust and virus protection, each mask needs 5.25 dm lace. Rona wants to make 5 and Joan wants to make 3 facemask. How many decimeters of lace do Rona and Joan need to make a face mask?

​Rona and Joan are making facemask for dust and virus protection, each mask needs 5.25 dm lace. Rona wants to make 5 and Joan wants to make 3 facemask. How many decimeters of lace do Rona and Joan need to make face mask?

​Understand

​•What is asked? 

The number or measurement of lace do Rona and Joan need to make face masks.

​•What are the given facts?

  The measure of lace per facemask is 5.25 dm

  (The number of facemasks they want -to make- 5 for Rona and 3 for Joan)

​Rona and Joan are making facemask for dust and virus protection, each mask needs 5.25 dm lace. Rona wants to make 5 and Joan wants to make 3 facemask. How many decimeters of lace do Rona and Joan need to make face mask?

​Plan

​•What operations shall we use to solve the problem?

  addition and multiplication

(hidden question)

  To get the number of facemask, lets  add:

  5 (Rona) + 3 (Joan)= 8(total)​

Solve

​Rona and Joan are making facemask for dust and virus protection, each mask needs 5.25 dm lace. Rona wants to make 5 and Joan wants to make 3 facemask. How many decimeters of lace do Rona and Joan need to make face mask?

​Answer: Rona and Joan need 42 dm lace for facemask.

To get the amount of lace needed lets multiply the total number of facemasks to the measurement per mask which is:

   8 x 5.25 = 42​

Solve

​Rona and Joan are making facemask for dust and virus protection, each mask needs 5.25 dm lace. Rona wants to make 5 and Joan wants to make 3 facemask. How many decimeters of lace do Rona and Joan need to make face mask?

One way to check if your answer is correct by using the opposite of the addition which is subtraction and the inverse of multiplication which is division.

   8 - 3 = 5

  42 ÷ 5.25 = 8 ​

Check

Understand

Plan

Solve

Check

Another example of multi-step word problems.

Carlo purchased 4 boxes of buchi for PhP200.75 each. If he had a 1000 peso bill, how much money did he have left after purchasing boxes of Buchi?

Open Ended

Carlo purchased 4 boxes of Buchi for PhP200.75 each. If he had a 1000 peso bill, how much money did he have left after purchasing boxes of Buchi?

What is asked in the problem?

Open Ended

Carlo purchased 4 boxes of Buchi for PhP200.75 each. If he had a 1000 peso bill, how much money did he have left after purchasing boxes of Buchi?

What are the given facts?

Open Ended

Carlo purchased 4 boxes of Buchi for PhP200.75 each. If he had a 1000 peso bill, how much money did he have left after purchasing boxes of Buchi?

What operations shall we use to solve the problem?

Open Ended

Carlo purchased 4 boxes of Buchi for PhP200.75 each. If he had a 1000 peso bill, how much money did he have left after purchasing boxes of Buchi?

What is the mathematical sentence?

Open Ended

Carlo purchased 4 boxes of Buchi for PhP200.75 each. If he had a 1000 peso bill, how much money did he have left after purchasing boxes of Buchi?

What is your final answer?

Answer the following problems.

Read and carefully understand the problems before clicking the answer.

Multiple Choice

A drugstore sells a piece of face mask at PhP17.90. The price of a bottle of 100-ml alcohol is PhP12.25 more than the price of a piece of face mask. If Carla paid PhP480.50 for the equal number of face masks to the number of bottles of 100-ml alcohol, how many of these items did she buy?

• 12 pieces of face masks ml - and 11 bottles of 100 alcohol

• 10 pieces of face masks ml - and 11 bottles of 100 alcohol

• 10 pieces of face masks ml - and 10 bottles of 100 alcohol

• 11 pieces of face masks ml - and 10 bottles of 100 alcohol

Multiple Choice

Sarah works 8.5 hours a day from Monday to Friday and 6.75 hours on Saturday. If she is paid PhP55.25 per hour, how much does she earn in a week?

• PhP2 721.0625

• PhP2 271.0625

• PhP2 712.0625

• PhP2 217.0625

Multiple Choice

Sherwin works 6.25 hours a day. If her hourly rate is PhP70.60, how much is he paid a day?

• PhP414.25 - amount Sherwin receives each day

• PhP441.25 - amount Sherwin receives each day

• PhP144.25 - amount Sherwin receives each day

• PhP441.75 - amount Sherwin receives each day

Multiple Choice

Lyka spends PhP155.80 for food each day. How much does she spend in 5.50 days?

• PhP856.90 - the amount spent by Lyka for food in 5.50 days

• PhP865.90 - the amount spent by Lyka for food in 5.50 days

• PhP586.90 - the amount spent by Lyka for food in 5.50 days

• PhP658.90 - the amount spent by Lyka for food in 5.50 days

Multiple Choice

Mr. Galvez needs to enclose his poultry house with cyclone wires. It has a length of 10.35 meters and a width of 4.15 m. Find the area of the poultry house that he needs to enclose.

• 42.9552 m ² - an area of the poultry house Mr. Galvez needs to enclose

• 42.9255 m ² - an area of the poultry house Mr. Galvez needs to enclose

• 42.525 m ² - an area of the poultry house Mr. Galvez needs to enclose

• 42.9525 m ² - an area of the poultry house Mr. Galvez needs to enclose