Solving Word Problems

A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?

Define the word problems variables.

• x = adult tickets

  y= student tickets

• x= total amount sold

  y= student tickets

• x= type of tickets

  y= theatre

• x = tickets

  y = total amount of $

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.3

A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?

What is our first equation for the system?

• 102x+21y=15

• 1,932x-102y=21

• x + y = 102

• 102-x=y

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.3

A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?

What is the second equation in our system?

hint : x+y=102 was your first equation

• x-y=15

• x + y = 21

• 1,932 - 102 = 21

• 21x+15y = 1,932

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.3

A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?

What is the best method for solving our system of equations?

($21x+$15y = $1,932) -----(x + y = 102)

• Graphing

• Substitution

• Elimination

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.5

A theater production charges $21 for adult tickets and $15 for student tickets. If the production sold 102 tickets for its opening night and made $1,932 in ticket sales, how many of each type of tickets were sold?

Solve the system of equations for this word problem.

• 21 adults

  15 students

• 67 adults

  35 students

• 50 adults

  52 students

• 101 adults

  1 student

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.3

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height?

What do we define as our variables?

• x = days of growth

  y= total height of the flower

• x = inches

  y = flowers

• x = flowers

  y= inches

• x = total height

  y= days of growth

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height?

How do we set up the first equation for Flower A?

• y=2x+0.75

• y=0.75x+2

• y = 3x+0.5

• y = 0.5x+3

Tags

CCSS.HSA.CED.A.1

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height?

How do you set up the equation for Flower B?

• y = 2x + 0.75

• y= 0.75x + 2

• y = 0.5x + 3

• y= 3x+0.75

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height?

What is the best method of solving

(y=0.75x+2 ---- y=0.5x+3)

• Graphing

• Substitution

• Elimination

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Seth is observing two flowers that are growing in his garden. Flower A is 2 inches tall and is growing 0.75 inches per day and Flower B is 3 inches tall and is growing 0.5 inches per day. How many days will it take for both Flower A and Flower B to be the same height?

Solve using substitution.

(y=0.75x+2 ---- y=0.5x+3)

• ( 4 , 5 )

• ( 5 , 4 )

• ( 3 , 6 )

• ( 6 , 3 )

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11