Question

A gardening company sells clay flower pots and plastic flower pots. There must be at least two pots in each Shipment, but there cannot be more than eight in a shipment.Additionally, the shipment must weigh less than 100 pounds. Each shipment container weighs 20 pounds, and there’s 1 pound of packaging material. A clay flower pot weighs 15 pounds where as a plastic flower pot weighs 7.5 pounds. Supposed to get all the pots in one shipment. explain how you determined this answer.

Answer 1

Answer: The number of pots in the shipment is less than 4

Hence, we could have 3 pots in the shipment

A gardening company sells clay flower pots.

According to the question, we are told that at least two pots must be in each shipment but there cannot be more more than eight pots in a shipment

First, let the number of pots = x

From the above statement, it implies that the number of pots the ship can contain is 8. This means the minimum number of pots a shipment can contain is 2 and the maximum number of pots a shipment can contain is 8

`\begin{gathered} \text{Mathematically, we have} \\ 2\leq x\leq8\text{ } \end{gathered}`

Additionally, the shipment must weigh less than 100 pounds

Each shipment container weighs 20 pounds, and there's 1 pound of packaging material

Let s be the total weigh of the shipment

Let p be the weigh of the packaging materials

Hence the inequality

`\begin{gathered} 20\cdot\text{ x + 1 }\cdot\text{p < 100} \\ 20x\text{ + p < 100} \end{gathered}`

A clay flower weighs 15 pounds and a plastic flower pot weighs 7.5 pounds

Since the total weight of all the shipment is less than 100

Recall that the number of pots is x

Hence,

15 * x + 7.5* x < 100

15x + 7.5x < 100

22.5x < 100

Divide both sides by 22.5

x < 100/22.5

x < 4.4444444

The number of pots in the shipment is less than 4

Hence, we could have 3 pots in the shipment