Question

Write an inequality:Carlos was going to sell all of his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought twelve more. How many did he start with if he now has at least 29?

Answer 1

He started with at least 34 stamp collection

Step-by-step explanation:

Let x represent Carlos' initial stamp collection.

From the question, we're told that he sold half of them, bought twelve more, and currently has at least 29, we can go ahead and set up an inequality as shown below;

`(x)/(2)+12\ge29`

We can go ahead and solve for x following the below steps;

Step 1: Subtract 12 from both sides of the equation;

`\begin{gathered} (x)/(2)+12-12\ge29-12 \\ (x)/(2)\ge17 \end{gathered}`

Step 2: Multiply both sides by 2;

`\begin{gathered} (x)/(2)*2\ge17*2 \\ x\ge34 \end{gathered}`

From the above, we can say that Carlos started with at least 34 stamp collection