System of Equations with Money Amounts

David bought two shirts and three pairs of shorts and spent $59. Todd bought one shirt and five pairs of shorts and spent $75. All shirts and shorts cost the same amount of money, and all amounts are after tax.

Which system of equations models this scenario?

• 2x + 3y = 1

  59x + 75y = 2

• 2x + 3y = 59

  x + 5y = 75

• y = 2x + 59

  y = 5x + 75

• 2x + 3x = 59

  y + 5y = 75

David bought two shirts and three pairs of shorts and spent $59. Todd bought one shirt and five pairs of shorts and spent $75. All shirts and shorts cost the same amount of money, and all amounts are after tax. How much does a shirt and pair of shorts cost? Solve using a system of equations.

• Shirt: $12

  Shorts: $15

• Shirt: $13

  Shorts: $10

• Shirt: $10

  Shorts: $13

• Shirt: $15

  Shorts: $12

Midtown High School took a field trip to the zoo. Adult tickets cost $8 per person and student tickets cost $6 per person, and the school spent $1,296 total. If 200 people went on this field trip, what system of equations would model this scenario?

• 8x + y = 1296

  x + 6y = 200

• x + y = 1296

  8x + 6y = 200

• 8x + 6y = 1296

  x + y = 200

• 8x + y = 200

  x + 6y = 1296

Midtown High School took a field trip to the zoo. Adult tickets cost $8 per person and student tickets cost $6 per person, and the school spent $1,296 total. Use a system of equations to find how many adults and students went on this trip.

• 48 adults, 152 students

• 152 adults, 48 students

• 140 adults, 60 students

• 60 adults, 140 students

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?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 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?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 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?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

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?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60