4.5A Representing operations

Duncan and Priscilla buy 68 apples. They use 46 apples to make pies for a bake sale. They split the remaining apples evenly between the two of them. Which strip diagram represents the number of apples, a, that Duncan and Priscilla each have?

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A flower shop had 242 roses. On Saturday it sold 128 of the roses. On Monday the shop got some more roses to sell. Now it has 150 roses. Which set of equations can be used to find r, the number of roses the shop got on Monday?

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A family paid a total of $44 for 2 adult tickets and 3 child tickets to play miniature golf. The 2 adult tickets cost a total of $20. Which strip diagram shows a way to find c, the cost in dollars of each child ticket?

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Erin has 12 pictures from a field trip and some pictures from a vacation. She has twice as many pictures from the vacation as from the field trip. Which strip diagram represents p, the total number of pictures Erin has?

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On Thursday 50 books were returned to a library. On Friday 4 times as many books were returned to the library as books that were returned on Thursday. Which set of equations can be used to find b, the total number of books returned to the library on these two days?

• 50 + 50 = 100

  100 x 4 = b

• 50 + 50 = 100

  100 + 4 = b

• 50 x 4 = 200

  200 x 50 = b

• 50 x 4 = 200

  200 + 50 = b

At a school store, folders cost 27 cents each and water bottles cost 93 cents each. Berta has 80 cents. Which set of equations can be used to find c, the number of cents Berta still needs in order to buy 2 folders and 1 water bottle?

• 27 + 93 = 120

  120 - 80 = c

• 27 x 2 = 54

  54 + 93 = 147

  147 - 80 = c

• 27 + 93 = 120

  120 + 80 = c

• 27 x 2 = 54

  54 + 93 = 147

  147 + 80 = c

Alexa had a total of 36 bottles of water. She drank half of the bottles of water last week. Alexa will drink the remaining water bottles during the next 6 days. She will drink the same number of bottles each day. Which strip diagram shows a way to find w, the number of water bottles Alexa will drink during each of the next 6 days?

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Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and 4 piano lessons in students’ homes. - For each lesson at his music school, he charges $15. - For each lesson in a student’s home, he charges $20. Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday?

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Darren drank 3 glasses of water every day for 6 days. Each glass contained 12 fl oz of water. Which equation represents w, the total amount of water in fluid ounces that Darren drank during these 6 days?

• 3 + 6 + 12 = w

• 12 x 6 = w

• 3 x 6 x 12 = w

• 3 x 12 ÷ 6 = w

A business earned $96 for one job and $78 for a second job. The money was divided equally among the 3 partners who own the business. Which strip diagram represents m, the amount of money each partner received?

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