6th Grade Math Textbook, Fundamentals

Read to understand what is being asked.

List the facts and restate the question.

Facts: There are 240 seventh graders in all.

walk to school.

of those who do not walk take the bus.

of those who do not walk or take the bus ride their bikes.

Question:How many seventh graders ride their bikes to school?

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Select a strategy.

This problem has a lot of information. To make this information easier

to understand, you can use the strategy Make a Drawing.

Apply the strategy.

• Draw a rectangle to represent the entire seventh grade.
  Divide the rectangle to show those who walk and those who do not.


• Divide the section representing those who do not walk into fourths.
  Shade to represent those who take the bus. The unshaded part
  represents those who do not walk or take the bus.


• Divide the unshaded section to represent
  those who ride their bikes.
  So 25 students ride their bikes to school.

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Check to make sure your answer makes sense.

Look back at the final drawing, and make sure the numbers

that represent each section satisfy the conditions in the problem.

The total is 40  50  50  50  25  25 240 students. ✓

40 students walk. This is of the 240 students. ✓

150 students ride the bus. This is of the 200 who do not walk. ✓

25 students ride their bikes. This is of the 50 who do not walk

or ride the bus. ✓

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(^12) of 50 is 25.
Think
40 200 16 of 240 is 40.
Walk Do not walk
40 50 50 50 50
Walk Do not walk
Ride Bus
40 50 50 50 25 25
Walk Do not walk
Ride Bus Bike
Think
(^14) of 200 is 50.
&KDSWHU 
Problem 2:There are 240 seventh graders at Kingston Middle School.
Of these students, walk to school. Of those who do not walk, take
the bus to school. Of those who do not walk or take the bus,
half ride their bikes. How many seventh graders ride
their bikes to school?
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6
3
4
3UDFWLFH $FWLYLWLHV
Lesson 5-18 for exercise sets.