Question

Libby has x dollars. Bill has 3 dollars more than twice what Libby has. Which is an expression for the amount of money that Bill has?​

Answer 1

The expression for the amount of money Bill has, when Libby has x dollars, is 2x + 3.

Step-by-step explanation:

Libby has x dollars, and we need to express the amount of money that Bill has based on this information. Bill has 3 dollars more than twice what Libby has. This can be expressed algebraically. We use the variable x to represent the amount of money Libby has, then multiply x by 2 to reflect 'twice' the amount, and finally add 3 to this product to account for the 'three dollars more' than twice what Libby has. The expression that represents the amount of money Bill has is therefore 2x + 3.

Here is a step-by-step breakdown of the process:

1. Start with the expression x, which represents the amount of money Libby has.
2. Multiply x by 2 to get 'twice' the amount of money (2x).
3. Add 3 dollars to the twice amount (2x + 3) to reflect 'three dollars more'.

Thus, the expression for the amount of money Bill has is 2x + 3.