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Dylan has a budget of $560 to spend altogether on a table and matching set of chairs. The table itself costs $315 and each matching chair costs $35.

If
c
represents the number of matching chairs purchased along with the table, which of these inequalities shows the values of
c
which fit within Dylan's budget?

User Luismi
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1 Answer

3 votes

Answer:To find the values of that fit within Dylan's budget, we can set up an inequality. Let's break it down step by step:

1. The cost of the table is $315.

2. Each matching chair costs $35.

3. Dylan has a budget of $560.

Now, let's use the variable to represent the number of matching chairs purchased along with the table.

The cost of the table and chairs can be calculated as follows:

Cost of the table = $315

Cost of matching chairs = $35 *

Total cost of table and matching chairs = ($315 + $35 * )

According to the question, the total cost of the table and matching chairs should be within Dylan's budget of $560. So, we can set up the inequality:

Cost of the table and matching chairs ≤ Dylan's budget

($315 + $35 * ) ≤ $560

To solve this inequality, we can simplify it further:

$315 + $35 * ≤ $560

Subtracting $315 from both sides:

$35 * ≤ $560 - $315

Simplifying:

$35 * ≤ $245

Now, let's divide both sides of the inequality by $35:

* ≤

Simplifying further:

* ≤ 7

Therefore, the inequality that shows the values of that fit within Dylan's budget is:

* ≤ 7

This means that Dylan can purchase up to 7 matching chairs along with the table and still stay within his budget of $560.

Step-by-step explanation:

User Juan G Carmona
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