Writing Systems of Equations

Sarah enjoys cutting lawns and charges $20 for each small lawn and $30 for each large lawn she mows. Sarah earned $140 for mowing 6 lawns. Write a system of equations that could be used to find x, small lawns and y, large lawns Sarah mowed.

Tags

CCSS.8.EE.C.8C

The drama club is selling tickets to its play. The cost of an adult ticket is $4.50, and the cost of a student ticket is $2.50. The theater can hold 250 people and they want to make $1,005. Write a system of equations that could be used to find x, the number of adult tickets and y, the number of student tickets.

Tags

CCSS.8.EE.C.8C

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spend $5 more than Michael for 5 tigerfish and 10 goldfish. Write a system of equations that could be use the find t, the price of a tigerfish and g, the price of a goldfish.

Tags

CCSS.8.EE.C.8C

Kacey is thinking of two numbers. Their sum is -18. Their difference is 38. Write a system of equations that could be used to find the two numbers.

Tags

CCSS.HSA.CED.A.3

The Spanish Club is selling tacos for a fundraiser. One student sold 12 chicken tacos and 15 beef tacos and raised $61.23. Another student raised $13.45 more than the first student by selling 10 chicken tacos and 22 beef tacos. Write a system of equations that could be used to find c, the price of chicken tacos and b, the price of beef tacos sold in the fundraiser.

Tags

CCSS.HSA.CED.A.3

The length of a rectangular playground is 4 meters less than 3 times the width. The perimeter is 64 meters. Write a system of equations that could be used to find l, the length and w, the width of the rectangular playground.

Tags

CCSS.8.EE.C.8C

Caitlin won a bag full of money at the fundraiser party! She won 49 bills that amounted to $1430. The bills consist of twenty dollar bills and fifty dollar bills. Using x for number of $20 bills and y for number of $50 bills, which systems would help determine how many of each bill Caitlin has?

• x + y = 1430

  20x + 50y = 49

• x + y = 49

  10x + 5y = 1430

• x + y = 49

  20x + 50y = 1430

• x + y = 49

  x + y = 1430

Tags

CCSS.8.EE.C.8C

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

• h + c = 15

  4h + 2c = 44

• 4h + 2c= 15

  h + c = 44

• h = 2c + 44

  4h = c + 15

• 2h - 4c = 44

  h - c = 15

Tags

CCSS.8.EE.C.8C