Title: Exercise 1
Course: Izrada interaktivnog sadržaja u alatu H5P

Q: Given the following information:

[Image] | + | [Image] | + | [Image] | = | 204
[Image] | + | [Image] | + | [Image] | = | 441
[Image] | + | [Image] | + | [Image] | = | 195

Compute:

[Image] | + | [Image] | + | [Image] | = | ?
A: 450
Feedback: The information provided can be interpreted as the price for three fruit baskets with different combinations of the three fruits. This corresponds to a system of linear equations where the price of the three fruits is the vector of unknowns x: (x)_(1)= | [Image] | (x)_(2)= | [Image] | (x)_(3)= | [Image] The system of linear equations is then: ( 1; 2; 0 // 2; 0; 1 // 2; 1; 0 ) · ((x)_(1) // (x)_(2) // (x)_(3)); =; ( 204 // 441 // 195 ) This can be solved using any solution algorithm, e.g., elimination: (x)_(1)= 62 ,(x)_(2)= 71 ,(x)_(3)= 317 . Based on the three prices for the different fruits it is straightforward to compute the total price of the fourth fruit basket via: [Image] | + | [Image] | + | [Image] | = | (x)_(1) | + | (x)_(2) | + | (x)_(3) | = | 62 | + | 71 | + | 317 | = | 450.