Question 1

A machine requires 1 hours to make a unit of Product A, and 4 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 80 units. How many hours were used to manufacture units of Product A?

Accepted Answer

The answer of A machine requires 1 hours to make...

Question 2

A tavern holds 50 seats. Two types of seats are available the Friday night jazz festival: stage and dining. The cost of a stage seat is $15.00 and the cost of a dining seat is $5.00. If all 50 seats are sold the tavern would collect $400.00. How many of each type of seat is available?

Accepted Answer

The answer of A tavern holds 50 seats. Two types...

Question 3

A bakery has been baking 4000 donuts a day for distribution. The second shift has produced 1000 donuts fewer than two-thirds of the number of donuts produced by the first shift. Determine the number of donuts each shift has produced.

Accepted Answer

The answer of A bakery has been baking 4000 donuts...

Question 4

Twice the larger number is greater than three times the smaller number by 19. The sum of the larger number plus one-third of the smaller number is 26. Find the two numbers.

Accepted Answer

The answer of Twice the larger number is greater than...

Question 5

Solve graphically: 2x = -5y and 3x + y = 9

Accepted Answer

The answer of Solve graphically: 2x = -5y and 3x...

Question 6

Solve graphically: x = y, 2y = x - 200

Accepted Answer

The answer of Solve graphically: x = y, 2y =...

Question 7

A theatre holds 400 seats. Two types of seats are available: orchestra and balcony. The cost of an orchestra seat is $60.00 and the cost of a balcony seat is $45.00. If all 400 seats are sold the theatre would collect $22 500.00. How many of each type of seat is available?

Accepted Answer

The answer of A theatre holds 400 seats. Two types...

Question 8

Solve graphically: 4x = -2y and x = 6

Accepted Answer

The answer of Solve graphically: 4x = -2y and x...

Question 9

Solve graphically: 2y = x + 200 and 3x + 2y = 240

Accepted Answer

The answer of Solve graphically: 2y = x + 200...

Question 10

The difference between seven times the first number and three times the second number is 12. The sum of three-fourths of the first number and two-thirds of the second number is 21. Find the two numbers.

Accepted Answer

The answer of The difference between seven times the first...

Question 11

Solve graphically: y = -x - 5 and x - y = 6

Accepted Answer

The answer of Solve graphically: y = -x - 5...

Question 12

The Oak Store has been producing 4640 chairs a day working two shifts. The second shift has produced 120 chairs fewer than four-thirds of the number of chairs produced by the first shift. Determine the number of chairs each shift has produced.

Accepted Answer

The answer of The Oak Store has been producing 4640...

Question 13

Solve graphically: 2x + 3y = -4 and x - 2y = 5

Accepted Answer

The answer of Solve graphically: 2x + 3y = -4...

Question 14

A machine requires five hours to make a unit of Product A and four hours to make a unit of Product B. Last month the machine operated for 440 hours producing a total of 100 units. How many units of each type of product did it produce?

Accepted Answer

The answer of A machine requires five hours to make...

Question 15

Hamidah's sales last week were $251 less than three times Colleen's sales. Together they sold $1123. Determine how much each person sold last week.

Accepted Answer

The answer of Hamidah's sales last week were $251 less...

Question 16

A machine requires 3 hours to make a unit of Product A, and 6 hours to make a unit of Product B. The machine operated for 195 hours producing a total of 40 units. How many hours were used to manufacture units of Product A?

Accepted Answer

The answer of A machine requires 3 hours to make...

Question 17

Solve graphically: 4y = -5x and x = -6

Accepted Answer

The answer of Solve graphically: 4y = -5x and x...

Question 18

Solve the system graphically.
3x - 7 = y
6x -2 y = 14

Accepted Answer

The answer of Solve the system graphically.
3x - 7 =...

Question 19

Solve the system of equations: 28 - 7x = 4y
36 - 4y = 3x

Accepted Answer

The answer of Solve the system of equations: 28 -...

Question 20

Solve graphically: 4x + 3y = 12 and 3x - 4y = -24

Accepted Answer

The answer of Solve graphically: 4x + 3y = 12...

Quiz 4: Linear Systems