Mixture Problems

This chapter discusses a common type of word problem that can be solved by linear equations: mixture problems. Read the chapter, watch the videos, and work through examples. Complete the review exercise at the end of the chapter.

Review

Answers

1.

a. 1.6lbs peanuts and 3.4lbs cashews

b. No, minimum price for 5lbs is $11

c. 6.81lb (all peanuts)

2.

a. 0.8L of 10% solution and 0.2L of 35% solution

b. 1.6L of 10% solution and 0.4L of 35% solution

3. The bracelet density is 16.37 g/cc

4. 82 purchased in advance and 38 at the door

5. 10 gal of 40% and 5 gal of 100%

6. 25 multiple choice and 10 short answer

7. 23 multiple choice and 8 short answer

8. 4 multiple choice and 1 short answer

9. 1st way: 𝑥 + 𝑦 = 5, 2𝑥 + 5𝑦 = 13 2nd way: 𝑥 + 𝑦 = 30, 2𝑥 + 5𝑦 = 87

10. Calculate what Kwan missed rather than what she got right: 𝑥 + 𝑦 = 4, 2𝑥 + 5𝑦 = 14