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?

(a)  

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 (a)  

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?

(a)  

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 (a)  

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?

(a)  

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