Question

Susie wants to spend no more than $100 for the holidays. She has already spent $50 and wants to purchase a few gifts of $3.25 each. Which shows how many gifts she can buy?

A) 50 + x < 100
B) 50x + 3.25 < 100
C) 3.25x - 50 < 100
D) 50 + 3.25x < 100

Answer 1

The correct answer is D) 50 + 3.25x < 100. To determine how many gifts Susie can buy, we need to set up an inequality that represents her budget constraint. She has already spent $50, so she has $100 - $50 = $50 remaining to spend. Each gift costs $3.25.

Step-by-step explanation:

The correct answer is D) 50 + 3.25x < 100.

To determine how many gifts Susie can buy, we need to set up an inequality that represents her budget constraint. She has already spent $50, so she has $100 - $50 = $50 remaining to spend. Each gift costs $3.25. Let's use the variable x to represent the number of gifts she can buy. Therefore, the inequality should be 50 + 3.25x < 100, which represents the total amount spent so far plus the cost of the gifts being less than her remaining budget.

We can solve this inequality to find the maximum number of gifts Susie can buy. Subtracting 50 from both sides gives us 3.25x < 50. Then, dividing both sides by 3.25 gives us x < 15.38. Since Susie cannot buy a fraction of a gift, she can buy a maximum of 15 gifts.