Systems of Equations Applications

Two high schools planned senior trips. High school A rented 1 van and 6 buses. They took 372 students. High school B rented 4 vans and 12 buses. They took 780 students. How many students does a van and bus hold?

• A van holds 18 students and a bus holds 59 students.

• A van holds 59 students and a bus holds 18 students.

• A van holds 24 students and a bus hold 54 students.

• A van holds 54 students and a bus holds 24 students.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

You and a friend go to Chick-Fil-A. You order 2 chicken sandwiches and 5 cookies. Your bill is $17. Your friend orders 3 chicken sandwiches and 2 cookies. Their bill is $20. How much does a chicken sandwich and a cookie cost?

• A sandwich costs $6 and a cookie costs $1.

• A sandwich costs $1 and a cookie costs $6.

• A sandwich costs $5 and a cookie costs $2.

• A sandwich costs $2 and a cookie costs $5.

Tags

CCSS.8.EE.C.8C

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.HSA.CED.A.3

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

Tags

CCSS.HSA.CED.A.3

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12
  Child: $8
  Senior: $8
• Adult: $6
  Child: $4
  Senior: $5
• Adult: $7
  Child: $5
  Senior: $4
• I did not get any of the answers above so I am assuming none ofthe above.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

• 10 horses, 18 chickens
• 16 horses, 12 chickens
• 12 horses, 16 chickens
• 18 horses, 10 chickens

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

What is your solution if your variables go away and you are left with 0 = 0?

• No Solution
• All Real Numbers
• Infinitely Many Solutions
• (x, y, z)

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.D.10

Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300.

If her sales go as usual, she will have to sell ______ small photos to pay for the booth.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

An MLB stadium sells three types of tickets. Reserved tickets are sold for $20 each, field level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field level tickets. Set up the system using the variables

x: reserved

y: field-level

z: box seats

• $x+y+z=370$
  $20x+50y+z=100$
  $2x=y$
  

• 
  

  $x+y+z=10$
  $20x+50y+100z=370$
  $x=2y$
  

• $2x+y+z=370$
  $20x+50y+100z=2$
  $2z=x$
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins costs $2 per pound, sunflower seeds cost $1 per pound, and chocolate-covered peanuts cost $1.50 per pound. The total cost for the mixture is $14.50. Set up the system of equations using the following:

x: raisins
y: sunflower seeds
z: chocolate-covered peanuts

•  $x+y+z=\text{14}.50$  
   $2x+y+1.50z=9$  
   $x=2y$  
  

•  $x+y+1.5z=9$  
   $2x+y+z=14.50$  
   $2x=y$  
  

• 
  

   $x+y+z=9$  
  

   $2x+y+1.50z=14.50$  
   $x=2y$  
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3