Four tomatoes and eight avocados cost $10. Six tomatoes and fourteen avocados cost $17. Part A: Determine the price for a single tomato and a single avocado.

Part B: Analyze your results to determine if they are feasible.

(a)

A single avocado costs $1

A single tomato costs $0.5

(b)

An avocado costs twice as much as a tomato

Step-by-step explanation:

Represent the tomatoes with T and the avocados with A.

So, we have:

--- (1)

--- (2)

Solving (a): The price of each

Multiply (1) by 1.5

--- (3)

Subtract (3) from (2)

Divide both sides by 2

Substitute 1 for A in (1)

Make 4T the subject

Divide both sides by 4

Solving (b): Analysis

In (a), we have:

We can say that an avocado costs twice as much as a tomato

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.