System of Equations Word Problems

Suppose you have 20 coins. If the coins are quarters and nickels only and are worth $2.60, which system of equations would represent this problem?

Let N = # of Nickels and let Q represent the # of Quarters

Tags

CCSS.8.EE.C.8C

A fruit basket containing only apples and pears is worth $9.00. Each apple costs $0.75 and each pear costs $0.50. What system would represent this problem if there are 14 pieces of fruit in all?

A = # apples and P = # of pears

Tags

CCSS.8.EE.C.8C

A small theatre can only seat 72 people. A sold out play took in $407.50 in ticket sales. If adult tickets are $6.50 and student tickets are $3.75, how many adults and how many students attended?

Let A = # Adults and S = # Students,

Which equation system represents this problem?

• Insufficient information to solve

Tags

CCSS.8.EE.C.8C

 A chemist needs to create a 250 mL solution that contains 30% acid. If they have a 25% acid solution and a 75% acid solution, how many milliliters of each must be mixed to create the solution needed?

Which system can be used to solve this?

Let x = Amount of 25% acid and let y = Amount of 75% acid solutions

The sum of a two-digit number is 13. When you reverse the digits, you decrease the number by 45. Which system can be used to find the number?

Let the variables xy represent the two digit number (x in the tens place, y in the ones place)

Tags

CCSS.8.EE.C.8C

A boat traveled from city A to city B and back. The cities are 200 miles apart. The trip downstream took 10 hours but the trip upstream took 20 hours. Which system would help us find the speed of the boat in still water (B) and also the speed of the current (C)?

Note: Distance = Rate (aka speed) x Time

• Insufficent information to solve

Tags

CCSS.8.EE.C.8C

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.3