A juice vendor in Port of Spain mixes guava juice and passion fruit juice. She has equations 2g + 3p = 23 and 4g + p = 19, where g represents litres of guava juice and p represents litres of passion fruit juice. What is the value of p?

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Question

A juice vendor in Port of Spain mixes guava juice and passion fruit juice. She has equations 2g + 3p = 23 and 4g + p = 19, where g represents litres of guava juice and p represents litres of passion fruit juice. What is the value of p?

Accepted Answer

3 — Award 1 mark for 3. From 4g + p = 19, p = 19 - 4g. Substitute into 2g + 3p = 23: 2g + 3(19 - 4g) = 23, so 2g + 57 - 12g = 23, -10g = -34, g = 3.4, then p = 19 - 4(3.4) = 5.4... Alternatively, multiply second equation by 3: 12g + 3p = 57. Subtract first from this: 10g = 34, g = 3.4, p = 3. A is incorrect calculation. C and D do not satisfy the equations.

Answer

5

Answer

7

Answer

3

Answer

4

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