Question

Harold and Bradley took a trip to the local farmer’s market. Harold bought 5 tomatoes and 12

cucumbers and spent $16.45. Bradley bought 8 tomatoes and 6 cucumbers and spent $15.10.
How much was each tomato and cucumber?

Answer 1

We are going to use variables (T and C)

Let t be the price of each tomato and c be the price of each cucumber in dollars.

From the given information, we can set up the following system of equations:

5t + 12c = 16.45
8t + 6c = 15.10

Multiplying the first equation by 2 and subtracting the second equation from it, we get:

10t + 24c - (8t + 6c) = 20.90 - 15.10
2t + 18c = 5.80

Multiplying this equation by 5, we get:

10t + 90c = 29

Substituting this into the first equation, we get:

5t + 12c = 16.45

(10t + 90c = 29)
-5t - 78c = -12.55

Solving for t, we get:

t = 1.75

Substituting this back into the first equation, we can solve for c:

5(1.75) + 12c = 16.45
8.75 + 12c = 16.45
12c = 7.70
c = 0.64

Therefore, each tomato costs $1.75 and each cucumber costs $0.64