1. example 4
Purchasing
A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
Chapter 7.1
2009 PBLPathways

2. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?

3. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?

4. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Number of Cars
Total Amount to Spend

5. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Number of Cars
Total Amount to Spend

6. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Number of Cars
Total Amount to Spend

7. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Number of Cars
Total Amount to Spend

8. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Number of Cars
Total Amount to Spend

9. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Number of Cars
Total Amount to Spend

10. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Number of Cars
Total Amount to Spend

11. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Total Amount to Spend

12. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000

13. -40,000 E1 + E2  E2
E1 + E2  E2

14. -40,000 E1 + E2  E2
E1 + E2  E2

15. -40,000 E1 + E2  E2
E1 + E2  E2

16. -40,000 E1 + E2  E2
E1 + E2  E2

17. -40,000 E1 + E2  E2
E2  E2

18. -40,000 E1 + E2  E2
E2  E2

19. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Echelon Form

20. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Echelon Form

21. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Echelon Form

22. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Echelon Form

23. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Solution

24. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Solution z x y -1 8 1
-0.5
6.5 2 5 3
0.5
3.5 4
1.5 6 7
2.5
-2.5

25. A young man wins $200,000 and (foolishly) decides to buy a new car for each of the
seven days of the week. He wants to choose from cars that are priced at $40,000,
$30,000, and $25,000. How many cars of each price can he buy with the $200,000?
x: number of cars costing $40,000
y: number of cars costing $30,000
z: number of cars costing $25,000
Solution z x y -1 8 1
-0.5
6.5 2 5 3
0.5
3.5 4
1.5 6 7
2.5
-2.5