Final answer:
To determine how many t-shirts Alex can buy with his remaining budget after buying jeans, we set up an inequality 32 + 12t ≤ 80, solved it as t ≤ 4, indicating that Alex can purchase at most 4 t-shirts.
Step-by-step explanation:
Alex has a budget constraint of $80 for his clothing purchase. To write an inequality, we first acknowledge that he wants to buy a pair of jeans costing $32. Then, we need an inequality representing the maximum number of t-shirts he can buy, each costing $12, with the remaining budget after purchasing the jeans.
Let t represent the number of t-shirts Alex can buy. The inequality for the total spending on jeans and t-shirts would be:
32 + 12t ≤ 80
To solve the inequality, we subtract 32 from both sides to find the amount Alex can spend on t-shirts:
12t ≤ 80 - 32
12t ≤ 48
Now, divide both sides by 12 to find the number of t-shirts:
t ≤ 4
Therefore, Alex can buy at most 4 t-shirts with his remaining budget after purchasing the jeans.
To write the inequality, let's first define a variable to represent the number of t-shirts Alex wants to buy. Let's call this variable 'T'.
According to the information provided, Alex has at most $80 to spend on clothes, the pair of jeans costs $32, and each t-shirt costs $12. We can write the inequality as:
32 + 12T ≤ 80
Now, let's solve the inequality to find the maximum number of t-shirts Alex can buy. Subtracting 32 from both sides of the inequality:
12T ≤ 48
Dividing both sides of the inequality by 12:
T ≤ 4
Therefore, Alex can buy at most 4 t-shirts while staying within his budget.