170 likes | 299 Views
Solve Percent Problems. Warm Up. Lesson Presentation. Lesson Quiz. 3. =. 27%. 1. 6. 12 . n. 25. y. 2. 54.5%. 4. =. 5 . 18. 8. Warm-Up. Write the percentage as a decimal. 0.27. ANSWER. ANSWER. 0.545. Solve the proportion. 50. ANSWER. 11.25. ANSWER. Warm-Up.
E N D
Solve Percent Problems Warm Up Lesson Presentation Lesson Quiz
3.= 27% 1. 6 12 n 25 y 2. 54.5% 4.= 5 18 8 Warm-Up Write the percentage as a decimal 0.27 ANSWER ANSWER 0.545 Solve the proportion. 50 ANSWER 11.25 ANSWER
Warm-Up 5. A tennis ball machine throws 2 balls every 3 seconds. How many balls will the machine throw in 18 seconds? ANSWER 12 balls
a b SOLUTION Write a proportion where 25 is the base and 17 is a part of the base. p p 100 100 17 is 68% of 25. ANSWER = 17 = 25 Example 1 What percent of 25 is 17? Write proportion. Substitute 17 for aand 25 for b. 1700 = 25p Cross products property. 68 = p Divide each side by 25.
Use a proportion to answer the question. 1. What percent of 20 is 15? 75% ANSWER ANSWER 27 Guided Practice 2. What number is 30% percent of 90?
a =p% b 51 =p% 136 = p% 0.375 37.5 = p% 51 is 37.5% of 136. ANSWER Example 2 What percent of 136 is 51? Write percent equation. Substitute 51 for aand 136 for b. Divide each side by 136. Write decimal as percent.
51 =p% 136 51 = 0.375136 51 = 51 Example 2 CHECK Substitute 0.375 for p% in the original equation. Write original equation. Substitute 0.375 for p%. Multiply. Solution checks.
a =p%b =15%88 ANSWER 13.2 is 15% of 88. Example 3 What number is 15% of 88? Write percent equation. Substitute 15 for pand 88 for b. = 0.15 · 88 Write percent as decimal. = 13.2 Multiply.
87.5% ANSWER ANSWER ANSWER ANSWER 20% 41.4 70 Guided Practice Use the percent equation to answer the question. 3. What percent of 56 is 49? 4. What percent of 55 is 11? 5.What number is 45% of 92? 6.What number is 140% of 50?
p%b a= 12.5%b 20= 0.125·b 20= b 160 = 20 is 12.5% of 160. ANSWER Example 4 20 is 12.5% of what number? Write percent equation. Substitute 20 for aand 12.5 for p. Write percent as decimal. Divide each side by 0.125.
104 40 ANSWER ANSWER Guided Practice In Exercises 7 and 8, use the percent equation to answer the question. 7.65 is 62.5% of what number ? 8.50 is 125% of what number ?
Survey Example 5 A survey asked 220 students to name their favorite pasta dish. Find the percent of students who chose the given pasta dish. a. macaroni and cheese b. lasagna
SOLUTION a. The survey results show that 33 of the 220 students chose macaroni and cheese. a ANSWER =p%b p% 220 33= p% 0.15 = 15% of the students chose macaroni and cheese as their favorite dish. Example 5 Write percent equation. Substitute 33 for aand 220 for b. Divide each side by 220. 15% = p% Write decimal as percent.
p% b ANSWER About 18% of the students chose lasagna as their favorite dish. a= p%220 40= p% 0.18 p% 18% Example 5 b. The survey results show that 40 of the 220 students chose lasagna. Write percent equation. Substitute 40 for aand 220 for b. Divide each side by 220. Write decimal as percent.
In Example 5, what percent of students chose fettucine alfredo? 9. 10% ANSWER Guided Practice
ANSWER 96 ANSWER 2% 37.5% ANSWER ANSWER 7.2 Lesson Quiz Solve the percent problem 1.What percent of 50 is 1? 2. What percent of 128 is 48? 3. What number is 16% of 45? 4.12 is 12.5% of what number?
5. Leonard has read 1001 pages out of 1456 of Tolstoy’sWarandPeace. Whatpercent of the novel has he read? ANSWER 68.75% Lesson Quiz