System of Equations Word Problems

Build the equation.

A boutique sells a red dress (x) for $22 and a jacket (y) for $35.

Find the equation below representing the total sales amounting to $250.

• 22x + 35y = 250

• 35x + 22y = 250

• 22x - 35y = 250

• 35x - 22y = 250

Tags

CCSS.HSA.CED.A.3

Build the equation.

An adult ticket (x) in an amusement park costs $130, and $85 for a child ticket (y).

Write an equation when total ticket sales is $2, 135.

• 130x + 85y = 2135

• 130x - 85y = 2135

• 85x + 130y = 2135

• 85x - 130y = 2135

Tags

CCSS.HSA.CED.A.3

Build the equation.

In a movie theatre, a cookie (x) costs $1.25 and a bag of popcorn (y) costs $2.15.

On Christmas day, the movie theatre sold a total sales of $105.40.
Which equation below represents the total amount of sales for cookies and popcorn?

• 1.25x - 2.15y = 105.40

• 1.25x + 2.15y = 105.40

• 2.15x - 1.25y = 105.40

• 2.15x + 1.25y = 105.40

Tags

CCSS.HSA.CED.A.3

Build the equation.

There are 3 horses (x) and 5 birds (y) in a farm.
Which equation below represents the total number of legs of all horses and birds?

• 4x + 2y = 22

• 4x + 2y = 18

• 4x + 2y = 38

• 4x + 2y = 76

Build the equation.

There are 8 quarters (x) and 6 dimes (y) in a coin purse.
Which equation below represents the total amount of money in the purse?

• 0.25x - 0.10y = 2.60

• 0.25x + 0.10y = 2.60

• 0.10x - 0.25y = 2.60

• 0.10x + 0.25y = 2.60

Tags

CCSS.8.EE.C.8C

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

• x - y = -10
  x + y = -2
• x = -2 
  y = 5
• x + y = -2
  x - y = -10
• x + y = -10
  x - y = -2

Tags

CCSS.HSA.CED.A.3

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

• 5q + 2z = 1.32
  1z = 0.75
• 5q + 2z = 1.32
  3q + 1z = 0.75
• q + z = 1.32
  q + z = 0.75
• 5q + 2z = 0.75
  3q + 1z = 1.32

Tags

CCSS.HSA.CED.A.3

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91
• x + y = 91
  14.80x + 17y = 6
• x + y = 6
  14.80y + 17x = 91
• x + y = 91
  14.80x+ 17y = 6

Tags

CCSS.HSA.CED.A.3

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

Tags

CCSS.8.EE.C.8C