1. Goal: Use linear systems to solve real-life problems. Eligible Content: A1.1.2.2.1 / A1.1.2.2.2

2. A store sold 28 pairs of cross-trainer shoes for a total of $2220. Style A sold for $70 per pair and Style B sold for $90 per pair. How many of each style were sold? Standard Form x = Style A y = Style B Money: 70x + 90y = 2220 Shoes: x + y = 28 15 pairs of Style A 13 pairs of Style B

3. Two car rental agencies have different charges. At Rent a Car you pay $50 plus $.75 per mile. At Ace Rentals you pay $35 plus $1.50 per mile. How many miles do you drive for the two agencies to cost the same? Slope-Intercept Form Rent a Car m =.75 b = 50 y =.75x + 50 Ace Rentals m = 1.50 b = 35 y = 1.50x + 35 20 miles

4. A health food store mixes granola that costs $4 per pound and raisins that cost $2 per pound together to make 25 pounds of raisin granola. How many pounds of raisins should they include if they want the mixture to cost them a total of $80? Standard Form x = granola y = raisin Money: 4x + 2y = 80 Pounds: x + y = 25 15 pounds of granola 10 pounds of raisins

5.  Worksheet – “Linear Systems Word Problems” 1. 10 videos, $50 2. 225 students, 276 adults 3. 250 miles, $31.50 4. 2 children, 5 adults 5. 3.75 lbs of x, 6.25 lbs of y 6. 63 hot dogs, 114 hamburgers

6.  Worksheet – “Linear Systems Word Problems Homework”