<p> Unit 6: Proportional Reasoning STUDY GUIDE</p><p>Express each ratio as a fraction in simplest form. </p><p>1. 15 vans out of 40 vehicles 2. 30 birds to 6 birds 3. 2 teachers to 30 students</p><p>Express each ratio as a unit rate. Round to the nearest tenth, if necessary.</p><p>4. $52 for 8 tickets 5. 200 yards in 32.3 seconds 6. 100 miles in 2.5 hours</p><p>7. Which costs more per notebook, a 4-pack of notebooks for $3.98 or a 5-pack of notebooks for $4.95?</p><p>Solve each proportion.</p><p>8. = 9. = 10. </p><p>State if each pair of ratios form a proportion. (yes or no)</p><p>11. 12. 13. 14. </p><p>Write a proportion that could be used to solve for each variable. Then solve. 15. If 12 cookies cost $3, how much do 16 cookies cost?</p><p>16. If 8 gallons cost $9.36, how many gallons cost $17.55?</p><p>17. A recipe that makes 72 cookies calls for 4 cups of flour. How many cups of flour are needed to make 48 cookies?</p><p>18. Complete the table.</p><p>5% 10% 15% 20% 12.5 25 75 1.8</p><p>Use the percent proportion to solve each problem. Show your work. Write a proportion that could be used to solve for each variable. Then solve.</p><p>19. Doctors estimate that 3 babies out of every 1000 are likely to get a cold during their first month. What percent is this?</p><p>20. A certain hamburger has 560 calories, and 288 of these are from fat. About what percent of the calories are from fat?</p><p>21. Of the students in a classroom, 60% are boys. If there are 20 students, how many are boys?</p><p>22. If 28 of the 50 soup cans on a shelf are chicken noodle soup, what percent of the cans are chicken noodle soup?</p><p>23. Find the discount: $35 skirt, 20% off. 24. A dictionary is on sale at a 15% discount. Find the sale price of the dictionary if it normally sells for $29.99.</p><p>25. If the sales tax for the city of Los Angeles is 9.75%, how much tax would you pay for an item that costs $200?</p><p>26. Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If the total amount of the dinner was $42, what should be paid to the waiter as a tip?</p><p>27. Each pair of figures is similar. Find the missing side. Draw curved lines for the corresponding congruent angles.</p><p>28. Use a proportion to solve the scale drawing problem. Draw a picture to help you solve.</p><p>Sam’s parents gave him a map to reach his house. He is 1.5 cm from his home. If each 3 cm on the scale drawing represents 5 km, how far is he from his house?</p>