Final answer:
Gina sells 864 t-shirts (3 times the 288 caps) and 87 belts (15 more than 1/4 of 288 caps). The difference is 777 fewer belts than t-shirts.
Step-by-step explanation:
The student asked about the number of belts Gina sells compared to t-shirts, given that she sells 3 times as many t-shirts as caps and 288 caps in total. To find the number of t-shirts Gina sells, we multiply the number of caps by 3 (3 times as many t-shirts as caps). This gives us 3 × 288 = 864 t-shirts. To find the number of belts, we take 1/4 of the number of caps and add 15 (15 more than ¼ of the number of caps. This equals (¼ × 288) + 15, which is 72 + 15 = 87 belts.
Gina sells 864 t-shirts (3 times the 288 caps) and 87 belts (15 more than 1/4 of 288 caps). The difference is 777 fewer belts than t-shirts.
To determine how many fewer belts than t-shirts Gina sells, we subtract the number of belts from the number of t-shirts, which is 864 t-shirts - 87 belts = 777 fewer belts than t-shirts. Therefore, Gina sells 777 fewer belts than t-shirts.