Warmup

40% offOriginally $56

How much is the sale price? (percent decrease)

What will the price be after 6% tax?(percent increase)

Mixture Problems

Objective: To solve mixture problems.

Standard 5.0

Mixture Notes Paper1) 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?

x + 8 10 10(x + 8)

x 80 80(x)

440

Quantity ∙ cost = total value

Pencils

Notebooks

Mixture

10(x + 8) + 80(x) = 440

10x + 80 + 80x = 440

90x + 80 = 440

90x = 360

x = 4 notebooks

Multiply across

Add down

so 12 pencils

Mixture Notes Paper2) 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?

12 – x 3 3(12 – x)

x 4 4x

12 $42.50

hours ∙ rate = total value

school

Saturdays

Mixture

3(12 – x) + 4x = 42.50

36 – 3x + 4x = 42.50

36 + x = 42.50

x = 6.50 6 hours 30 min on Saturdays

Multiply across

Add down

Mixture Notes Paper3) Raisins are worth $3.24 per pound was mixed with dried apricots

worth $4.22 per pound to produce a mixture worth $3.80 per pound. If there were 15 pounds of raisins then calculate the amount of dried apricots in the mixture.

15 324 15(324)

x 422 x(422)

15 + x 380 380(15 + x)

Quantity ∙ cost = total value

Raisins

Apricots

Mixture

15(324) + x(422) = 380(15 + x)

4860 + 422x = 5700 + 380x

4860 + 42x = 5700

42x = 840

x = 20 apricots

Multiply across

Add down

Homework

Plowed Field

Show all of your work on a separate piece of paper to receive full credit!