Systems of Equations Word Problems

A clothing company sells jeans for $15 and shirts for $12. If they sold a total of 112 jeans and shirts while making a profit of $1,488. Which system represents the situation below?

Tags

CCSS.8.EE.C.8C

A clothing company sells jeans for $15 and shirts for $12. If they sold a total of 112 jeans and shirts while making a profit of $1,488. How many of each did they sell?

• They sold 48 pairs of jeans and 64 shirts.

• They sold 64 pairs of jeans and 48 shirts.

• They sold 32 pairs of jeans and 80 shirts.

• They sold 80 pairs of jeans and 32 shirts.

Tags

CCSS.8.EE.C.8C

You are trying to decide between two companies to cater your party. One company chargers $18 per plate with a deposit of $300. The second company charges $22 per plate with a deposit of $200. Which systems represents how many guests would you need to invite for the two companies to be the same price?

Tags

CCSS.8.EE.C.8C

You are trying to decide between two companies to cater your party. One company chargers $18 per plate with a deposit of $300. The second company charges $22 per plate with a deposit of $200. How many guests would you need to invite for the two companies to be the same price?

• 750 guests

• 25 guests

• 20 guests

• 115 guests

The sum of two numbers is 48. Twice the first number subtracted by half of the second number is 46. Which system represents the problem?

Tags

CCSS.HSA.CED.A.3

The sum of two numbers is 48. Twice the first number subtracted by half of the second number is 46. What are the two numbers?

• The first number is 20 and the second number is 28.

• The first number is 32 and the second number is 16.

• The first number is 16 and the second number is 32.

• The first number is 28 and the second number is 20.

Tags

CCSS.8.EE.C.8C

A box contains 22 coins consisting of quarters and dimes. The total value of the coins is $3.55. Which system of equations can be solved to determine the number of dimes and the number of quarters in the box?

Tags

CCSS.HSA.CED.A.3

A box contains 22 coins consisting of quarters and dimes. The total value of the coins is $3.55. How many dimes are in the box?

• 13 dimes

• 13 quarters

• 9 quarters

• 9 dimes

Tags

CCSS.8.EE.C.8C

Mrs. L spent $25 dollars buying nine flowers for her friend. If roses cost $3 and daisies cost $2, write a system of equations to determine how many of each type of flower she bought.

Tags

CCSS.8.EE.C.8C

Mrs. L spent $25 dollars buying nine flowers for her friend. If roses cost $3 and daisies cost $2, how many of roses and daisies did she buy?

• She bought two roses and seven daisies

• She bought seven roses and two daisies

• She bought five roses and four daisies

• She bought four roses and five daises

Tags

CCSS.8.EE.C.8C