word problem

Alan has 57 coins consisting of nickels, dimes, and quarters. He has twice as many dimes as nickels. If the coins are worth a total of $7.25, which system of equations is used to determine how many of each coin Alan has?

• n+d+q=57

  n = 2d

  0.05n+0.10d+0.25q=7.25

• n+d+q = 57

  n = 2d

  5n+ 10d + 25q = 7.25

• n+d+q=57

  d=2n

  0.05n+0.10d+0.25q=7.25

• n +d+q=57

  d = 2n

  5n+ 10d + 25q = 7.25

Major League Soccer (MLS) rules state that soccer balls are to be inflated to 13 PSI. Prior to each game, the referees check the three game balls. If the game balls are inflated to 1 PSI more or less of the desired weight, they are approved for use in the game. Which absolute value equation best represents the least and the most that a MLS soccer ball weights?

• | x+1 | = 13

• | x-1 | = 13

• | x+13 | = 1

• | x-13 | = 1

At the Longhorn Video Game Design company, the average starting salary for a new designer is $42,500. The actual salary could differ by $3,200. Which absolute value equation is used to determine the highest and the lowest salary for a new designer at Longhorn Video Game Design?

• | x-3,200 | = 42,500

• | x+3, 200 | = 42,500

• | x - 42,500 | = 3,200

• | x + 42,500| = 3,200

Jesse has 24 coins consisting of pennies, dimes, and quarters. She has twice as many quarters as dimes. If the coins are worth a total of $13.25. which system of equations is used to determine how many of each coin Jesse has?

• p+d+q = 24

  d = 2q

  0.01p+ 0.10d + 0.25q = 13.25

• p+d+q = 24

  d = 2q

  1p + 10d + 25q = 13.25

• p + d + q = 24

  q= 2d

  0.01p+ 0.10d + 0.25q = 13.25

• p + d + q=24

  2d = q

  1p + 10d + 25q = 13.25

Carol has 109 coins consisting of pennies, dimes, and quarters. She has twice as many pennies as dimes. If the coins are worth a total of $16.75. which system of equations is used to determine how many of each coin Carol has?

• p+d+q = 109

  d = 2p

  0.01p+0.10d+0.25q=16.75

• p+d+q=109

  d = 2p

  1p+10d+25q=16.75

• p + d + q = 109

  p= 2d

  0.01p+0.10d+0.25q=16.75

• p + d + q=109

  2d = р

  1p + 10d + 25q = 16.75

Mark has a new business. In his company, the average starting salary for a new worker is $70,000. The actual salary could differ by $1,600. Which absolute value equation is used to determine the highest and the lowest salary for a new worker at Mark's company?

• x +70,000| = 1,600

• |x - 70,000| = 1,600

• |x + 1,600| = 70,000

• |x 1,600| = 70,000

At a new company, the average starting for a new employee is $30,000. The actual salary could differ by $1,500. What absolute value equation is used to determine the highest and lowest salary for a new employee?

• 
  | x+1,500 |=30,000

• | x-30,000 |=1,500

• | x+30,000 |=1,500

• | x-1,500 |=30,000

The park sells three types of tickets: general admission, senior citizen, and child. Sara bought 2 general admission, 4 senior citizen, and 2 child tickets and paid $54. Kevin bought 5 general admission, 3 senior citizens, and 7 child tickets and paid $75. Henry bought 4 general admission, 1 senior citizens, and 2 child tickets and paid $67. Which system of equations is used to determine the cost of each type of ticket?

• 2g + 4s + 2c = 54

  5g + 3s + 7c = 75

  4g + 1s + 2c = 67

• 2g + 5s + 4c = 54

  4g + 3s + 1c = 75

  2g + 7s + 2c = 67

• 2g + 4s + 2c = 75

  5g + 3s +7c = 67

  4g + 1s + 2c = 54

• 2g +7s+2c = 54

  4g + 3s +1c = 67

  2g + 5s + 4c = 75

Julie has 55 coins that are worth $4.7. She has 5 times more dimes than quarters. Which of the following system of equations can determine how many of each coin Julie has?

• n+d+q=55

  0.05n+0.10d+0.25q=4.7

  5q=d

• n+d+q=55

  5n+10d+25q=4.70

  2d=n

• n+d+q=55

  0.05n+0.10d+0.25q=4.7

  5d=q

• n+d+q=55

  5n+10d+25q=4.7

  2n=d

One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the system of equations that can solve this situation.

• t+c+v=10

  3t+1c+4v=1027

  2091=5v

• 2t+3c+5v=1240

  3t+c+4v=1027

  5t+7c+2v=2091

• t+c+v=1240

  t+2c+3v=1027

  5t+3v=35

• 2t+3c+5v=1240

  3t+1c+4v=1027

  5t=7c+2v