1. 5.3: Applications of Systems of Linear Equations (AKA Word Problems)
Algebra 2
5.3: Applications of Systems of Linear Equations
(AKA Word Problems)

2. Problem 1 M = Y – 32.8 M + Y = 266.6 M = (149.7) – 32.8
In 2003, the New York Yankees and the New York Mets had the highest payrolls in major league baseball. The Mets’ payroll was $32.8 million less than the Yankees. If the two payrolls totaled $266.6 million, what was the payroll of each team?
M = Y – 32.8
M = (149.7) – 32.8
M = 116.9
M + Y = 266.6
(Y – 32.8) + Y = 266.6
2Y – 32.8 = 266.6
2Y = 299.4
Y = 149.7
Mets = $116.9 million
Yankees = $149.7 million

3. Problem 2
It was reported in 2004 that during the National Hockey League and National Basketball Association seasons, two hockey tickets and one basketball ticket cost $ At the same prices, one hockey ticket and two basketball tickets cost $ What were the average ticket prices for the two sports?
(1)
(-2)
Hockey Ticket = $41.36
Basketball Ticket = $43.65

4. Problem 3 $6 x 6x $2 y 2y $5 200 5(200) Continued…
Randall wants to mix a total of 200 lbs of nuts worth $5 per pound by mixing some $6 per pound cashews with some $2 per pound peanuts. How many pounds of each type of nut must he mix?
Cost
Pounds
Total $6 x 6x $2 y 2y $5
200
5(200)
Equation Equation 2
Continued…

5. Problem 3 continued… (-6) (1) 150 pounds of cashews
50 pounds of peanuts

6. Problem 4
Carter Fenton invested $12,000 last year in two accounts: one earning 3% interest and the other earning 4%. If he made $440 in interest last year, how much did he have in each account? %
Amount Invested
Interest 3% x
.03x 4% y
.04y
12,000
440
Equation Equation 2
Continued…

7. Problem 4 continued… (-.03) (1) $4,000 at 3% interest