Solving Systems of Equations with Word Problems

Last year you mowed grass and shoveled snow for 10 households. You charged $200 a season to mow a yard and $180 a season to shovel snow. If you earned $1,880 last year, how many households did you mow and how many households did you shovel snow?

Tags

CCSS.8.EE.C.8C

Your family goes out to Chili’s for dinner. Chili’s charges $9 for an adult dinner and $5 for a child’s plate. Ten members of your family went to dinner and your bill was $66. How many adults and children ate at Chili’s?

Adults ______________

Tags

CCSS.8.EE.C.8C

Your family goes out to Chili’s for dinner. Chili’s charges $9 for an adult dinner and $5 for a child’s plate. Ten members of your family went to dinner and your bill was $66. How many adults and children ate at Chili’s?

Tags

CCSS.8.EE.C.8C

Homer has four times as many hits in baseball than interceptions in football. Homer has made a total of 120 hits and interceptions. How many of each has Homer made?

Hits ________________

Tags

CCSS.8.EE.C.8C

Homer has four times as many hits in baseball than interceptions in football. Homer has made a total of 120 hits and interceptions. How many of each has Homer made?

Tags

CCSS.7.EE.B.4A

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

Tags

CCSS.HSA.CED.A.3

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

Tags

CCSS.HSA.CED.A.3

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

• t: # of tacos
  m: # of glasses of milk

• t: Cost of each taco
  m: Cost of each glass of milk

• t: total cost
  m: # of food items

• t: Cost of each glass of milk
  m: Cost of each taco

Tags

CCSS.8.EE.C.8C

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8

• t + n = 54
  n = 3t + 8

• t + n = 54
  t = 3n - 8

• t + n = 8
  t = 3n + 54

Tags

CCSS.HSA.CED.A.3

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)

• (26, 29)

• (29, 26)

• (29, 32)

Tags

CCSS.8.EE.C.8C