Generating Equations

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

Michael spent $50 for 6 tigerfish and 8 goldfish. Shaun spend $5 more than Michael for 5 tigerfish and 10 goldfish. Write a system of equations that could be used the find the price of a tigerfish (t) and the price of a goldfish (g).

The perimeter of rectangular box is 18 inches and the width is five inches less than the length. If W=width of the box and L=length of the box, which system of equations matches the situation?

• L + W = 18
  W = L - 5

• 2L + 2W = 18
  L = W - 5

• 2L + 2W = 18
  W = L - 5

• 2L + 2W = 18
  W = 5 - L

Matthew, Hazel and Brock are going bowling. They rented 3 pairs of shoes (x) and paid for 2 games of bowling (y). They spent 24.50 total, write and equation to represent this equation.

• 2x+24.50y=3

• 2x+3y=24.50

• 3x+24.50y=2

• 3x+2y=24.50

Richard ordered 3 burgers and 2 orders of fries for himself and his friends. His order cost $12.75. Which equation represents the given situation?

• 3x + 12.75y = 2

• 3x + 2 = 12.75y

• 3x + 2y = 12.75

• 3x - 2y = 12.75

Choose an equation for the coordinates x and y: (3,5).

• x + y = 0

• xy = 15

• x/y = 0.6

• 3x = 5y

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

The school store sells t-shirts and sweatshirts each Friday. Sales totaled $565.00 last Friday. Let t represent t-shirts, which sold for $10 each. Let w represent sweatshirts, which sold for $25 each. Which equation using t and w represents the total sales for last Friday?

• 10w + 25t = 565

• 10t + 25w = 565

• t + w = 565

• 565t + 10w = 25

A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins costs $2 per pound, sunflower seeds cost $1 per pound, and chocolate-covered peanuts cost $1.50 per pound. The total cost for the mixture is $14.50. There are twice as many raisins as there are sunflower seeds in each mixture. Set up the system of equations using the following:

If you add Jason's age and Shelly's age, you get 57. Jason is 7 years older than Shelly. Which system of equations can be used to find Jason's age, j, and Shelly's age, s?