Question

Two customers went to a hardware store to buy pepper plants and tomato plants. Each pepper plant costs the same amount, and each tomato plant costs the same amount. The first customer paid $66.30 for 12 pepper plants and 6 tomato plants. The second customer paid $81.60 for 9 pepper plants and 12 tomato plants. What was the cost in dollars for each pepper plant?

A $3.89
B $3.40
C $5.53
D $4.25

Answer 1

The cost of each pepper plant is B) $3.40. Hence, B) is correct.

Step-by-step explanation:

To find the cost of each pepper plant, we need to set up a system of equations. Let x represent the cost of each pepper plant.

From the first customer's purchase, we can write the equation: 12x + 6y = 66.30, where y represents the cost of each tomato plant.

From the second customer's purchase, we can write the equation: 9x + 12y = 81.60.

We can solve these equations simultaneously to find the values of x and y.

Solving these equations, we find that x is approximately 3.40. Therefore, the cost of each pepper plant is $3.40, which corresponds to option B.