John and Mary buy their fruit from the same shop. John bought 5 apples and 3 bananas for €4. On the same day: Modelling Using Mathematics Assignment, UCC, Ireland
| University | University College Cork (UCC) |
| Subject | Modelling Using Mathematics |
- John and Mary buy their fruit from the same shop. John bought 5 apples and 3 bananas for €4. On the same day, Mary bought 4 apples and 7 bananas for €6. How much does one apple cost? How much does one banana cost? Complete all of the following steps for maximum marks:
(i) Declare variables
(ii) Derive two equations that model the real-life situation described in the question.
(iii) By solving the 2 equations derived in part (ii), calculate (a) how much one apple costs, and (b) how much one banana costs. - Draw a diagram showing the stages involved in the mathematical modeling
(i) process.
(ii) Explain in your own words your understanding of the ‘Validation’ stage of the mathematical modeling process.
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