Linear Systems Matrix Multiplication Word Problems

Front

Equations for ticket sales: Day 1: 3 senior tickets, 1 child ticket = $38. Day 2: 3 senior tickets, 2 child tickets = $52.

Back

3s + 1c = 38
3s + 2c = 52

Front

Using the previous question, how much did each ticket cost? Use matrix form to solve this on your calculator.

Back

8 s, 14 c

Front

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

Back

$10

Front

Solve: (round to nearest hundredth) 2x + 5y = 55, 9x - 2y = 3

Back

(2.55, 9.98)

Front

Solve the system using matrices: x + y = 21, 6x + 4y = 104

Back

(10, 11)

Front

Rivermont High: 11 vans, 3 buses, 283 students. Washington High: 12 vans, 14 buses, 770 students. How many students per van and bus?

Back

Van 14, Bus 43

Front

Find the price of an adult ticket and the price of a child ticket using matrices on your calculator. Options: Adult $13, Child $5; Adult $10, Child $6; Adult $8, Child $16; Adult $12, Child $13.

Back

Adult $12, Child $13

Front

The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y?

Back

14

Front

Solve the following on your calculator and round to the nearest hundredth: 5x + 95y = 283, 187x - 2y = 396

Back

(2.15, 2.87)