The maximum you can spend on a desk and chair is $345. The chair costs $78. How much can you spend on the desk? Write and solve an inequality.

Question

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x – 78 ≥ 345; at most 78 dollars
x + 78 ≤ 345; at most 267 dollars
x + 78 ≤ 345; at most 78 dollars
x – 78 ≥ 345; at most 345 dollars

Answer 1

The correct inequality to represent the situation is:

x + 78 ≤ 345

where x is the amount you can spend on the desk.

To solve for x, we can start by isolating the variable on one side of the inequality:

x ≤ 345 - 78

x ≤ 267

Therefore, you can spend at most $267 on the desk.