Two-Step Bar Model Problems

Use bar models to solve the following problems:

1. Joe has 32 envelopes and Pete has 48 envelopes. They share the envelopes equally. How many do they have in all? How many does each of them have?

2. Naomi has 29 biscuits. She gives Charlie 9 biscuits. She divides the rest of the biscuits among 5 people. How many biscuits does each person have?

Two-Step Bar Model Problems

Dina, Sue, and Kelly have $98 in all. Dina has 4 times as much money has Kelly. Sue has $18 dollars. How much money does Kelly have?

• 4. Adam, Ben, Carlos, and Darren share a $96 bill for dinner equally. They each also tip the waitress $2. How much does each of them spend in all?

Real World Problems: Multiplication and Division

• I will solve 3-step problems using bar models

3-Step Problem # 1

Mr. Benson and Mr. McKenzie have $4, 686 altogether. Mr. Benson’s share is twice as much as Mr. McKenzie’s.a.) How much is Mr. McKenzie’s share?

b.) How much is Mr. Benson’s share?

c.) If Mr. Benson spends $500 on books how much money does he have left?

3 Step Problem # 2

• Mrs. Romero has $3,756 to spend on equipment for the school media room. She saves $650 for later purchases. She spends the rest on 12 monitors and some software. The monitors cost $205 each. How much does she spend on software?

• What is the question that we are trying to solve?

What should we do first?

a.) First, let’s find the total amount that Mrs. Romero spends.

Draw a bar model to show how much she spent altogether.

What should we do next?

b.) Next, we should find the total cost of 12 monitors.

Draw a bar model to show how much the 12 monitors cost.

What should we do next?

c.) Then, we should subtract the cost of the 12 monitors from the total amount that Mrs. Romero spends.

Draw a bar model to show how much she spends on the software.