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

2a + b + 2c = 10

3a + b + 4c = 14

3a + 2b + 6c = 20 ⇒ answer A

Step-by-step 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

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)