1. 2.6 Ratio, Proportion, and Percent
Math 51
2.6
Ratio, Proportion, and Percent

2. A ___________ is a comparison between two quantities using a quotient, written: 𝑎 to 𝑏, 𝑎:𝑏, or 𝑎 𝑏 ex: 2 bananas to 5 strawberries can be written 2 5

3. A ___________ is a comparison between two quantities using a quotient, written: 𝑎 to 𝑏, 𝑎:𝑏, or 𝑎 𝑏 ex: 2 bananas to 5 strawberries can be written 2 5
ratio

4. A ___________ is a comparison between two quantities using a quotient, written: 𝑎 to 𝑏, 𝑎:𝑏, or 𝑎 𝑏 ex: 2 bananas to 5 strawberries can be written 2 5
ratio

5. A ___________ is a comparison between two quantities using a quotient, written: 𝑎 to 𝑏, 𝑎:𝑏, or 𝑎 𝑏 ex: 2 bananas to 5 strawberries can be written 2 5
ratio

6. A _______________ says that two ratios are equal
A _______________ says that two ratios are equal. In general, a proportion 𝑎 𝑏 = 𝑐 𝑑 is true if and only if 𝑎𝑑=𝑏𝑐. (Note: 𝑎𝑑 and 𝑏𝑐 are called cross products.)

7. A _______________ says that two ratios are equal
A _______________ says that two ratios are equal. In general, a proportion 𝑎 𝑏 = 𝑐 𝑑 is true if and only if 𝑎𝑑=𝑏𝑐. (Note: 𝑎𝑑 and 𝑏𝑐 are called cross products.)
proportion

8. A _______________ says that two ratios are equal
A _______________ says that two ratios are equal. In general, a proportion 𝑎 𝑏 = 𝑐 𝑑 is true if and only if 𝑎𝑑=𝑏𝑐. (Note: 𝑎𝑑 and 𝑏𝑐 are called cross products.)
proportion

9. A _______________ says that two ratios are equal
A _______________ says that two ratios are equal. In general, a proportion 𝑎 𝑏 = 𝑐 𝑑 is true if and only if 𝑎𝑑=𝑏𝑐. (Note: 𝑎𝑑 and 𝑏𝑐 are called cross products.)
proportion

10. Ex 1. Decide whether each proportion is true or false

11. Ex 2. Solve the proportion 𝑥 6 = 35 42 .

12. Ex 3. Solve the equation 𝑥−2 5 = 𝑥+1 3 .

13. Ex 4. Twenty gallons of gasoline costs $77. 00
Ex 4. Twenty gallons of gasoline costs $ How much would 27 gallons of the same gasoline cost?

14. A ____________ is a ratio where the second number is always 100.

15. A ____________ is a ratio where the second number is always 100.
percent

16. Recall: To use a percent in a calculation, first move the decimal point two places to the left. ex: 75%= _____ 3%= ______ 0.375= ________ 2.63= _______

17. Recall: To use a percent in a calculation, first move the decimal point two places to the left. ex: 75%= _____ 3%= ______ 0.375= ________ 2.63= _______
0.75

18. Recall: To use a percent in a calculation, first move the decimal point two places to the left. ex: 75%= _____ 3%= ______ 0.375= ________ 2.63= _______
0.75
0.03

19. Recall: To use a percent in a calculation, first move the decimal point two places to the left. ex: 75%= _____ 3%= ______ 0.375= ________ 2.63= _______
0.75
0.03
37.5%

20. Recall: To use a percent in a calculation, first move the decimal point two places to the left. ex: 75%= _____ 3%= ______ 0.375= ________ 2.63= _______
0.75
0.03
37.5%
263%

21. Ex 5. What is 15% of 600?

22. Ex 6. 32% of what number is 64?

23. Ex is what percent of 360?

24. Ex 8. A calculator with a regular price of $13 is on sale this week at 15% off. Find the amount of the discount and the sale price of the calculator.

25. Ex 9. Abraham scored 36 points on a test, which was 90% of the possible points. How many possible points were on the test?

26. Ex 4. Solve 𝐶= 5 9 𝐹−32 for 𝐹.