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Pre-Algebra Chapter 6 - Ramsey School District

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Activity 2<br />

Suppose a store advertises a sale in which all merchandise is 20% off the original<br />

price. If the original price of a pair of shoes is $50, how much will you save?<br />

In this case, you know the percent. You need to find what part of the original<br />

price you’ll save.<br />

You can find the part by using a similar model.<br />

Step 1<br />

Draw a 10-unit by 1-unit<br />

rectangle on grid paper.<br />

Label the units on the right<br />

from 0 to 100 because<br />

percent is a ratio that<br />

compares a number to 100.<br />

Finding a Part<br />

Step 2<br />

On the left side, mark<br />

equal units from 0 to 50,<br />

because 50 represents<br />

the whole quantity.<br />

Step 3<br />

Draw a horizontal line from<br />

20% on the right side to the<br />

left side of the model. The<br />

number on the left side is<br />

the part. Label the model<br />

as shown.<br />

0<br />

10<br />

20<br />

30<br />

40<br />

50<br />

60<br />

70<br />

80<br />

90<br />

100<br />

0<br />

5<br />

10<br />

15<br />

20<br />

25<br />

30<br />

35<br />

40<br />

45<br />

50<br />

0<br />

10<br />

20<br />

30<br />

40<br />

50<br />

60<br />

70<br />

80<br />

90<br />

100<br />

0 0<br />

part 5<br />

10<br />

15<br />

20<br />

25<br />

30<br />

35<br />

40<br />

10 percent<br />

20<br />

30<br />

40<br />

50<br />

60<br />

70<br />

80<br />

whole 45 90 100<br />

50 100<br />

Using the model, you can see that 20% of 50 is 10. So, you will save $10 if you<br />

buy the shoes.<br />

Model<br />

Draw a model and find the part that is represented. If it is not possible to<br />

find an exact answer from the model, estimate.<br />

11. 10% of 50 12. 60% of 20<br />

13. 90% of 40 14. 30% of 10<br />

15. 25% of 20 16. 75% of 40<br />

17. 5% of 200 18. 85% of 500<br />

19. 33 1 % of 12 20. 37.5% of 16<br />

3<br />

Investigating Slope-Intercept Form 287<br />

<strong>Algebra</strong> Activity Using a Percent Model 287

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