1. Mixture Problems By: Jacob Hoadley

2. What is a mixture problem? Word problems where items or quantities of different values are mixed together

3. Mixture Problems + Real Life After learning quite a bit of information about mixture problems, I’ve found that they can be most useful to business owners who are trying to figure out what they need to use to make a certain profit Mixture problems can also be used for all kinds of science problems, chemistry in particular

4. Problem #1 Mr. Wilson wrote down his daily black cow root beer float sales for the last week. He had sold 414 floats at $2.15 each. The ingredients for the floats cost $1.08 per float. How much profit did he make last week?

5. Problem #1 answer 414*2.15 = 890.1 414*1.08 = 447.12 890.1 – 447.12 = 442.98 Mr. Wilson’s total profit was $442.98

6. Problem #2 9 lbs of mixed nuts containing 55% peanuts was mixed with 6 lbs of another kind of mixed nuts that contains 40% peanuts. What percent of the new mixture is peanuts?.55*9 +.40*6=15x 4.95 + 2.4 = 15x 7.35 = 15x X = 7.35/15 X =.49 or 49% of the new mix is peanuts

7. Problem #2 answer.55*9 +.40*6=15x 4.95 + 2.4 = 15x 7.35 = 15x X = 7.35/15 X =.49 or 49% of the new mix is peanuts

8. Problem #3 Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?

9. Problem #3 answer Let a = ounces of brand A nuts used Let b = ounces of brand B nuts used.35a +.25b/21 =.29.35a +.25b =.29 * 21 (1).35a +.25b = 6.09 (2) A + B = 21

10. #3 continued Now we multiply both sides of (2) by.25 and then we subtract (2) from (1) 21*.25 = 5.25 (1).35a +.25b = 6.09 (2).25a +.25b = 5.25 6.09 – 5.25 =.84 =.1a A = 8.4

11. #3 continued A + B = 21 8.4 + B = 21 21 – 8.4 = 12.6 B = 12.6 8.4 + 12.6 = 21