Solve Problems with Percent
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1 SS NS.G6.R.3.c nterpret Find percents a percent as of part a quantity of a hundred; as a rate per find decima (e.g., 30% andof a quantity means 30/ times the quantity); sove probems invoving finding the whoe, percent equivaents for common fractions; expain why they given a part and the percent. represent the same vaue; and compute a given percent of a whoe number. UNDRLYNG SKLLS AND ONS: mutipy by divide by -digit divisors concept of ratio Sove robems with ercent You can use proportions to sove probems about percent. A proportion is an equa ratio. hat s ike equa fractions. 50 peope went on a hike. 30 were girs. What percent of the peope were girs? Step : Write a ratio of a hikers to girs. 50:30 Step : 50 peope is % of the group. Step 3: So, find the proportion of girs p Step 4: ross mutipy. 50p 3000 Step 5: Sove for p. Hint: Divide each side by p p 60 Step 6: Write the answer. 60% were girs. What percent of the hikers were NO girs? % 60% % So, % were NO girs. Of the 50 hikers, 30% were aduts. How many peope were aduts? 30% So, 5 hikers were aduts. Hey! Wait for me! 3 We are 30% of our hiking group. SL Associates, nc. A rights reserved. We are 70% of our hiking group. page 7 hapter 3 Lesson 4
2 R A. Dary used 3 out of speing. What percent did he use incorrecty? 3 p p 3,00 p 80% % 80% 0% 3. 5% of the words were bonus words. How many of the words were bonus words? 5% 0.05 words were bonus words SL Associates, nc. A rights reserved out of 05 movie goers said they 6. 0% of the peope had no preference. Fractiona ercents MR.6 7. amei s survey showed that 7 % of peope surveyed didn t ike peanuts. f she surveyed 0 peope, how many peope said they didn t ike peanuts? p 05p 3,500 p 33.3% % 33.3% 66.7% 05 0% peope had no preference 0 7 % peope did not ike peanuts. hapter 3 Lesson 4 page 73
3 R A at home!. Akira used 36 out of speing 90% were correct p percent 36 p. What percent did he use incorrecty? % 90% 0% 0% were incorrect 36 p 360 p 90 p 3. 5% of the words were bonus words. How many of the 5 words were not bonus words? 38 words were not bonus words n non bonus words n 5 n 00 n n n out of 00 movie goers said they % iked comedy best 60% did not choose comedy 6. 5% of the peope had no preference. 30 peope had no preference Fractiona ercents MR.6 7. atrick s survey showed that % of peope surveyed didn t ike wanuts. f he surveyed 0 peope, how many peope said they didn t ike wanuts? p percent 00p 8, % % 60% 5% of p 8, p p 00 3, % of 0.5 0, peope said they did not ike wanuts SL Associates, nc. A rights reserved. page 84 Home Resource and Homework hapter 3 Lesson 4
4 R A. Dary used 3 out of speing. What percent did he use incorrecty? 3 p p 3,00 p 80% % 80% 0% 3. 5% of the words were bonus words. How many of the words were bonus words? 5% 0.05 words were bonus words SL Associates, nc. A rights reserved out of 05 movie goers said they 6. 0% of the peope had no preference. Fractiona ercents MR.6 7. amei s survey showed that 7 % of peope surveyed didn t ike peanuts. f she surveyed 0 peope, how many peope said they didn t ike peanuts? p 05p 3,500 p 33.3% % 33.3% 66.7% 05 0% peope had no preference 0 7 % peope did not ike peanuts. hapter 3 Lesson 4 Student Book age page 73
5 R A at home!. Akira used 36 out of speing 90% were correct p percent 36 p. What percent did he use incorrecty? % 90% 0% 0% were incorrect 36 p 360 p 90 p 3. 5% of the words were bonus words. How many of the 5 words were not bonus words? 38 words were not bonus words n non bonus words n 5 n 00 n n n out of 00 movie goers said they % iked comedy best 60% did not choose comedy 6. 5% of the peope had no preference. 30 peope had no preference Fractiona ercents MR.6 7. atrick s survey showed that % of peope surveyed didn t ike wanuts. f he surveyed 0 peope, how many peope said they didn t ike wanuts? p percent 00p 8, % % 60% 5% of p 8, p p 00 3, % of 0.5 0, peope said they did not ike wanuts SL Associates, nc. A rights reserved. page 84 Home Resource and Homework hapter 3 Lesson 4
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