Simulation Equations - Worded Questions

Simulation Equations - Worded Questions

​Simultaneous Equations

​In order for equations to be simultaneous, they have to meet at a point. The point is the solution.

GET A PAPER AND A CALCULATOR​

Multiple Select

In a game, 2 red cards and 3 black cards are worth 12 points; 2 black and 3 red are worth 13 points. If one black is worth p points and one red is worth q points, then:

• 3p+2q=12

  2p+3q=13

• 2q+3p=12

  2p+3q=13

• 3q+2p=12

  2q+3p=13

• 3p+2q=13

  2p+3q=12

• 2q+3p=13

  2p+3q=12

Fill in the Blank

A woman out shopping decides to buy a total of 8 fruits for her son at home. She wants to spend $4.75 on oranges and apples. An orange cost $0.50 each and an apple cost $0.75 each. Calculate the number of each fruit bought. Let x represent oranges and y represent apples.

For the answer, write EXACTLY LIKE: x=#oranges and y=#apples

Fill in the Blank

A boy bought 4 rotis and 5 patties for $31.75. If he had bought one more roti and 2 less patties, then he would have paid $2.25 more.

What much does one roti and one patty cost?

For the answer, write EXACTLY LIKE: r=$# and p=$#

Fill in the Blank

Stefan's school is selling tickets for a choral performance. On the first day of ticket sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.  Use s to represent senior citizen and c to represent a child. 

For the answer, write EXACTLY LIKE: s=$# and c=$#

Multiple Choice

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?

• 4y+3x=$120

  3y+3x=$134

• 4y+3x=$134

  3y+3x=$120

• 4x+3y=$120

  3x+3y=$134

• 4x+3y=$134

  3x+3y=$120

​Used this image to answer the next question.

Multiple Choice

What is the Solution of the pair of simultaneous equations represented in the graph below?

• No solution

• (6,3)

• (3,6)

• (-6,3)

Fill in the Blank

A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.

For the answer, write EXACTLY LIKE: a=#adults and c=#children

Fill in the Blank

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there?

For the answer, write EXACTLY LIKE: c=#chickens and h=#horse

Fill in the Blank

A mother bought 3 packs of Supligen and 4 packs of Orange juice for $13.40. If she had bought 4 packs of Supligen and 3packs of Orange juice at the same grocery store, then the cost would have been $14.95. Using s to represent the cost of a pack of Supligen and j represent the cost of one pack of juice, determine the cost of Supligen and Orange juice.

For the answer, write EXACTLY LIKE: s=$# and j=$#