Solving Systems of Equations-Word Problems

The drama club sold a total of 150 tickets to their spring show. Student tickets cost $5 each and adult tickets cost $8 each. If they had $1,020 in ticket sales write and solve a system of equations to determine how many student and adult tickets they sold.

• 30 student tickets and 120 adult tickets

• 50 student tickets and 100 adult tickets

• 60 student tickets and 90 adult tickets

• 85 student tickets and 65 adult tickets

Tags

CCSS.8.EE.C.8C

A local supermarket sells apples for $3.99 a pound and carrots for $2.49 a pound. Sallie buys x pounds of apples and y pounds of carrots. Which of the following inequalities represents that Sallie only has $14 to spend?

• 3.99x+2.49y < 14

• 3.99x+2.49y > 14

• x+y < 14

• 3.99x > 14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Write a system of equations to describe the situation and solve.

A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 5 sitcoms and 2 dramas, for a total of 199 minutes of shows. On Tuesday nights, he has scheduled 3 sitcoms and 5 dramas, for a total of 298 minutes of shows. All sitcoms have the same length and all dramas have the same length. How long is each type of show?

• 22 minutes for a sitcom and 46 minutes for a drama

• 23 minutes for a sitcom and 47 minutes for a drama

• 22 minutes for a sitcom and 45 minutes for a drama

• 21 minutes for a sitcom and 47 minutes for a drama

Tags

CCSS.8.EE.C.8C

A camp counselor for a summer day camp sometimes buys lunch for her campers at a nearby fast food restaurant. On Monday, she purchased 1 hamburger kid meal and 9 chicken nugget kid meals, for a total of $29. On Thursday, she spent $37 on 5 hamburger kid meals and 9 chicken nugget kid meals. How much does each type of meal cost?

• $4 for a hamburger meal and $2 for a chicken nugget meal

• $3 for a hamburger meal and $3 for a chicken nugget meal

• $2 for a hamburger meal and $3 for a chicken nugget meal

• $4 for a hamburger meal and $3 for a chicken nugget meal

Tags

CCSS.8.EE.C.8C

Lia loves riding Ferris wheels and roller coasters. While visiting the Fulton County Fair, she first went on the Ferris wheel 1 time and the roller coaster 4 times, using a total of 21 tickets. Then, after taking a break and having a snack, Lia went on the Ferris wheel 5 times and the roller coaster 2 times, using a total of 15 tickets. How many tickets does it take to ride each attraction?

• 3 tickets for the Ferris wheel and 5 tickets for the roller coaster

• 2 tickets for the Ferris wheel and 4 tickets for the roller coaster

• 1 ticket for the Ferris wheel and 5 tickets for the roller coaster

• 2 tickets for the Ferris wheel and 3 tickets for the roller coaster

Tags

CCSS.8.EE.C.8C