1. Today’s Date: 9/13/11 1.8 Mixture Word Problems Notes on Handout

2. Mixture Amount $/each = Total $ Create a table: Amt$/eaTotal $ THING 1 THING 2 Mixture = Multiply Add Get eqtn from this column + = Amt = kg, pounds, # of hrs $/ea = $ ‘per’, ‘an’, ‘a’, each

3. Examples a) Define variable b) Write eqtn. c) Solve 1) Les spent $4.40 for several pencils costing 10 cents each and some notebooks costing 80 cents each. He bought 8 more pencils than notebooks. How many notebooks did he buy? a) x = # of notebooks b)10(x + 8) + 80x = 440 10x + 80 + 80x = 440 90x + 80 = 440 90x = 360 x = 4 c) 4 notebooks Amt$/eaTotal $ Pencilsx + 81010(x + 8) Notebooksx8080x TOTAL (Mix)440 = + = total spent

4. Examples a) Define variable b) Write eqtn. c) Solve 2) Susan makes $3 an hour working after school and $4 an hour working on Saturdays. Last week she worked a total of 12 hours and made $42.50. How many hours did she work on Saturday? a) x = # of hrs on Sat b)3(12 – x) + 4x = 42.50 36 – 3x + 4x = 42.50 36 + x = 42.50 x = 6.50 # hrs aft sch + # hrs Sat = Total # hrs # hrs aft sch = Total # hrs – # hrs Sat Amt (# of hrs) $/hrTotal $ After school12 – x33(12 – x) Saturdayx44x TOTAL1242.50 = + = c) 6.5 hours

5. Examples a) Define variable b) Write eqtn. c) Solve 3) A company sells cashews that cost $3.50 per pound and almonds that cost $3.00 per pound. How many kg. of almonds should be mixed in order to get a mixture that is 10 pounds and costs $3.40 per pound? a) x = amt of almonds b)3.50(10 – x) + 3.00x = 10(3.40) 35 – 3.50x + 3.00x = 34 35 –.50x = 34 –.50x = –1 amt cashews + amt almonds = amt mix amt cashews = amt mix – amt almonds Amt$/eaTotal $ Cashews10 – x3.503.50(10 – x) Almondsx3.003.00x Mix103.4010(3.40) = + = amt of almonds x = 2 c) pounds

6. Examples a) Define variable b) Write eqtn. c) Solve 4) The Nut House sells walnuts for $4 a pound and cashews for $7 a pound. How many pounds of cashews should be mixed with 10 pounds of walnuts to obtain a mixture that sells for $5.50 a pound? a) x = amt of cashews b)10(4) + 7x = 5.50(x + 10) 40 + 7x = 5.50x + 55 40 + 1.50x = 55 1.50x = 15 amt walnuts + amt cashews = amt mix Amt$/eaTotal $ Walnuts10410(4) Cashewsx77x Mixx + 105.505.50(x + 10) = + = amt of cashews x = 10 c) pounds

7. Homework #9 Plowed Field WS