Question

Polit

Which system of equations best represents the situation below?
A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He
decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 2 potatoes for $10
3 tomatoes, 1 eggplant, 4 potatoes for $14
3 tomatoes, 2 eggplants, 6 potatoes for $20

Answer 1

2a + b + 2c = 10

3a + b + 4c = 14

3a + 2b + 6c = 20 ⇒ answer A

Explanation:

* Lets explain how to solve the problem

- A farmer grew his own vegetables

- Tomatoes (a)

- Eggplants (b)

- Potatoes (c)

- He decided to package and price them as follows

# 2 tomatoes, 1 eggplant, 2 potatoes for $10

∵ a is the tomatoes b is the eggplants and c is the potatoes

∴ 2a + b + 2c = 10

# 3 tomatoes, 1 eggplant, 4 potatoes for $14

∵ a is the tomatoes b is the eggplants and c is the potatoes

∴ 3a + b + 4c = 14

# 3 tomatoes, 2 eggplants, 6 potatoes for $20

∵ a is the tomatoes b is the eggplants and c is the potatoes

∴ 3a + 2b + 6c = 20

∴ The best system of equations is answer A

2a + b + 2c = 10

3a + b + 4c = 14

3a + 2b + 6c = 20