Question

#6 The cost of 12 tomatoes and 7 peppers is $5.36. The cost of 8 tomatoes and 5 peppers is $3.68. Find the prices of the tomatoes and peppers. A. Write a system of equations to represent the number of tomatoes, t, and the number of peppers, p. B. Solve your system of equations. C. Explain what your answer means in context.

Answer 1

Check Explanation

Step-by-step explanation

A) Let the price of one tomato be t

Let the price of one pepper be p

The cost of 12 tomatoes and 7 peppers is $5.36.

12t + 7p = 5.36

The cost of 8 tomatoes and 5 peppers is $3.68.

8t + 5p = 3.68

B) We can then write this together and solve this as a simultaneous equation

12t + 7p = 5.36

8t + 5p = 3.68

Solving simultaneously,

t = 0.26 dollars

p = 0.32 dollars

C) In the context of the question, this means that,

The cost of one tomato = $0.26

The cost of one pepper = $0.32

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