Simultaneous Occasions

Lily bought 6 pineapples and 2 peppers which altogether cost £16.

On another occasion she bought 4 pineapples and 4 peppers which cost £16.

Assume the cost of pineapples and peppers stays the same. How much does one pineapple cost? How much does one pepper cost?

How much do they cost?

Hint: The answers are whole numbers.

A Mathematics Lesson Starter Of The Day


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Topics: Starter | Algebra | Problem Solving | Simultaneous Equations

  • Transum,
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  • This is one of those starters that is different every time you load the page so you can use it many times with the same class. At a guess most pupils seeing this starter will not be familiar with simultaneous equations so a trial and improvement (involving lots of calculations) may be used. It is a good problem to develop a systematic way of working so that it is possible to home in on the correct answer.
  • Mrs Walker, St.James' School
  •  
  • My year 6 class found this fairly easy once they had a discussion with their neighbours. Satisfactory.

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This starter has scored a mean of 3.2 out of 5 based on 264 votes.


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This activity is suitable for students of mathematics all around the world. Use the button below to change the currency symbol used to make it more relevant to your students. You may wish to choose an unfamiliar currency to extend your students' experience.

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Answers

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Generate another problem:

Level 1:
Eg. 3x + 2y = 18
  5x + 2y = 26
(same coefficient of second variable)

Level 2:
Eg. 3x + 2y = 18
  5x + 4y = 32
(Simple multiple coefficient of second variable)

Level 3:
Random coefficients

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