Question

Alex has at most $80 to spend on clothes. He wants to buy a pair of jeans for $32 and spend the rest on t-shirts. T-shirts cost $12 each. Write and solve an inequality.

Answer 1

Alex can buy at most 4 T-shirts with his remaining budget after purchasing a $32 pair of jeans, given that each T-shirt costs $12 and he has a total of $80 to spend.

Step-by-step explanation:

Alex wants to buy a pair of jeans costing $32 and as many $12 T-shirts as possible with his budget of at most $80. To write an inequality for this situation, let t represent the number of T-shirts Alex can buy. Alex has already spent $32 on jeans, so the remaining amount that can be spent on T-shirts is $80 - $32 = $48. Since each T-shirt costs $12, we can write the following inequality to represent this scenario:

12t ≤ 48

To solve for t, divide both sides of the inequality by 12:

t ≤ 4

So, Alex can buy at most 4 T-shirts with the remaining money after purchasing the jeans.