6 4 Applying Systems DAY 3 Mixture Problems

6. 4 Applying Systems DAY 3 Mixture Problems Essential Question: How do you write and solve mixture problems?

Solving System Word Problems • Systems can be used to solve complex word problems that involve two or more variables. • To solve a word problem: 1) Identify important information (underline or circle) 2) Build the two linear equations (use x, y, and important numbers) 3) Determine which method to solve the system (graph, substitute, eliminate)

Mixture Problems • Mixture problems are similar to comparison problems from Day 1. • To set up a mixture problem: 1) One equation is the amount 2) The other equation is the percent of the mixture or the cost of the food per pound. • Change percents to decimals • Multiply the percent and quantity in the second equation before solving.

Chemical Mixture • X and Y represent the two items you are mixing. 1) Amount: x + y = Total 2) Percent : %x + %y = %(Total)

Example 1

Practice 1

Food Mixture • X and Y represent the items you are mixing. 1) Amount: x + y = Total 2) Cost: $x + $y = $(Total)

Example 2 • A 12 pound mixture of peanuts and cashews sells for $6. 50/lb. If peanuts sell for $3 per pound and cashews sell for $8 per pound, how many pounds of peanuts are in the mix?

Practice 2

Summary Answer the essential question in detailed, complete sentences. How do you write and solve mixture problems? Write 2 -4 study questions in the left column to correspond to the notes.