1.8 Mixture Word Problems

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

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

Examplesa) Define variable b) Write eqtn. c) Solve total spent 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 x = 4 c) 4 notebooks • 10(x + 8) + 80x = 440 • 10x + 80 + 80x = 440 • 90x + 80 = 440 • 90x = 360

Examplesa) 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 # hrs aft sch + # hrs Sat = Total # hrs # hrs aft sch = Total # hrs – # hrs Sat • 3(12 – x) + 4x = 42.50 • 36 – 3x + 4x = 42.50 • 36 + x = 42.50 • x = 6.50 c) 6.5 hours

Examplesa) Define variable b) Write eqtn. c) Solve amt of almonds 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? = + = amt cashews + amt almonds = amt mix amt cashews = amt mix – amt almonds a) x = amt of almonds • 3.50(10 – x) + 3.00x = 10(3.40) • 35 – 3.50x + 3.00x = 34 • 35 – .50x = 34 • – .50x = –1 c) pounds x = 2

Examplesa) Define variable b) Write eqtn. c) Solve amt of cashews 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 amt walnuts + amt cashews = amt mix • 10(4) + 7x = 5.50(x + 10) • 40 + 7x = 5.50x + 55 • 40 + 1.50x = 55 • 1.50x = 15 c) pounds x = 10

Homework #9 Plowed Field WS

1.8 Mixture Word Problems