Question

The Smiths are renovating their kitchen. They want to spend between $25,000 and$35,000. The cabinets that they want cost $12,000. How much is left intheir budget for everything else? Variable Represents:Inequality:Solve:Sentence:

Answer 1

13,000 ≤ x ≤ 23,000

Step-by-step explanation:

Let the amount left in their budget for everything else = x

Cost of the cabinets that they want = $12,000.

Therefore, total budget = 12,000+x

Since they want to spend between $25,000 and $35,000, the inequality representing this situation is:

`25,000\leq12,000+x\leq35,000`

We solve for x.

`\begin{gathered} 25,000\leq12,000+x\leq35,000\text{ (Subtract 12,000)} \\ 25,000-12,000\leq12,000-12,000+x\leq35,000-12,000 \\ 13,000\leq x\leq23,000 \end{gathered}`

They have between 13,000 to 23,000 left in their budget for everything else