Elimination Word Problems

The sum of two numbers is 24 and their difference is 2. What are the numbers?

• The numbers are 11 and 13.

• The numbers are 24 and 2.

• The numbers are 2 and 22.

• The numbers are 10 and 24.

The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.

Select the two answers below that define your variables.

• x = first number

• y = second number

• x = 9

• y = 27

The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.

• The two numbers are 6 and 15.

• The two numbers are 9 and 27.

• The two numbers are 9 and 18.

• The two numbers are 6 and 21.

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12. Find the cost of each. Select the two choices below that define your variables.

• x = the cost of a pen

• y = the cost of a pencil

• x = 9 pens

• y = 8 pencils

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12. Find the cost of each.

• The cost of a pen is $1.19 and the cost of a pencil is $0.39.

• The cost of a pencil is $1.19 and the cost of a pen is $0.39.

• The cost of a pen is $6.71 and the cost of a pencil is $7.12.

• The cost of a pen is $7.12 and the cost of a pencil is $6.71.

Mary has a collection of nickels and quarters for a total value of $4.90. If she has 42 coins total, how many of each kind are there?

• x = number of quarters

• y = number of nickels

• x = 42 coins

• y = $4.90

Mary has a collection of nickels and quarters for a total value of $4.90. If she has 42 coins total, how many of each kind are there?

• Mary has 28 nickels and 14 quarters.

• Mary has 14 nickels and 28 quarters.

• Mary has $4.90.

• Mary has 42 coins.

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44

• 4x + 2y = 15
  x + y = 44

• x = 2y + 44
  4x = y + 15

• 2x - 4y = 44
  x - y = 15

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.
Solve:
 x + y = 15
4x + 2y = 44

• (8, 7)

• (7,8)

• (23,-8)

• (7, 22)

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5