1. 6-5 Applications of Linear Systems AGAIN
Goal:
Use linear systems to solve real-life problems.
Eligible Content:
A / A

2. Word Problem #1
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. Word Problem #2
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. Word Problem #3
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. Practice Worksheet – “Linear Systems Word Problems” 10 videos, $50
225 students, 276 adults
250 miles, $31.50
2 children, 5 adults
3.75 lbs of peppermint, 6.25 lbs of chocolate
63 hot dogs, 114 hamburgers

6. Homework
Worksheet – “Linear Systems Word Problems Homework #2”