Write Systems of Linear Equations

Suppose you have a total of $2.25 in dimes and nickels.  You have twice as many dimes, as nickels.  Which system of equations could be used to determine how many of each you have?

• 0.10d + 0.05n = 2.25
  d = 2n
• 0.05d + 0.10n = 2.25
  d = 2n
• 0.10d + 0.05n = 2.25
  n = 2d
• 0.05d + 0.10n = 2.25
  n = 2d

A large pizza at Papa's Pizzeria costs $6.80 plus $0.90 for each topping.  The cost of a large cheese pizza at Mama's Pizza is $7.30 plus $0.65 fpr each topping.  Which system of equations could be used to determine the number of toppings you need to add to a large cheese pizza from Papa's Pizzeria and Mama's Pizza in order for the pizzas to cost the same?

• p(x) = 7.30 + 0.65x
  m(x) = 6.80 + 0.90x
• p(x) = 6.80x + 0.90
  m(x) = 7.30x + 0.65
• p(x) = 7.30 + 0.90x
  m(x) = 6.80 + 0.65x
• p(x) = 6.80 + 0.90x
  m(x) = 7.30 + 0.65x

Edwin bought 3 cd's and 7 dvd's for $80.  Jessica bought 6 cd's and 3 dvd's for $63.75.  Which system of equations could be used to determine how much one cd and one dvd costs?

• 3x + 7y = 80
  6x + 3y = 63.75
• 3x + 3y = 80
  6x + 7y = 63.75
• 3x + 7y = 63.75
  6x + 3y = 80
• 6x + 7y = 80
  3x + 3y = 63.75

Academy sports equipment store is having a sale on bike helmets and water bottles.  One bike club purchased 10 helmets and 2 water bottles for $155.  Another bike club purchased 12 helmets and 3 water bottles for $189.  Which system of equations could be used to determine the cost of a bike helmet and a water bottle?

• 2h + 10b = 155
  12h + 3b = 189
• 10h + 2b = 189
  12h + 3b = 155
• 10h + 2b = 155
  12h + 3b = 189
• 10h + 3b = 155
  12h + 2b = 189

A pizza buffet restaurant has one price for adults and other price for children under age twelve. Tim's family has two adults and three children. Their bill was $40.50. Amy's family has three adults and one child. Their bill was $38. Which system of equations could be used to determine the buffet price for an adult and the price for a child?

• a+ c = 40.50

  a + c= 38

• 2a + 3c = 40.50

  3a + c = 38

• 2a + c = 40.50

  3a + 3c = 38

• 2a + 3c = 38

  3a + c = 40.50

Wendy had 35 coins in pennies and nickels.  She had $1.03.  Which system of equations could be used to determine the  number of coins she has?

• .01p + .05n = 35
  p + n = 103
• 1p + 5n = 1.03
  p + n = 35
• .01p + .05n = 1.03
  p + n = 35
• .05p + .01n = 1.03
  p + n = 35

Alexis had $115 and he is earning $50 per week at his summer job.  Eduardo had $130 and is earning $40 per week at his summer job.  Which system of equations could be used to determine how many weeks they must work to have the same amount?

• a(x) = 115 + 40x
  e(x) = 130 + 50x
• a(x) = 115 - 50x
  e(x) = 130 - 40x
• a(x) = 50 + 115x
  e(x) = 40 + 130x
• a(x) = 115 + 50x
  e(x) = 130 + 40x

At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?

• s+b=478
  19s+16b=28
• s + b = 28
  16s+19b=478
• s+b=478
  16s+19b=28
• s+b=28
  19s+16b=478

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Which system could be solved to determine the number of adult tickets (a) and student tickets (s) purchased?

• a+s=52.75
  5.5a+7.25s=8
• a + s = 8
  5.5a+7.25s=52.75
• a + s = 52.75
  7.25a+5.5s=8
• a + s = 8
  7.25a+5.5s=52.75

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

• x + y = 561
  45x+52y=12
• x + y = 12
  52x+45y=561
• x + y = 12
  45x+52y=561
• x + y = 561
  52x+45y=12