Question

When a band plays at the main stage of a 1,100-person festival, they sell 21 t-shirts. Their next festival gig involves playing on the main stage at a 3,800-person festival. How many t-shirts do they expect to sell?

a) 121
b) 41
c) 140
d) 130

Answer 1

Using proportionality, the expected number of t-shirts sold at a 3,800-person festival is approximately 73. However, this result does not match any of the provided multiple-choice options, and without further context, we cannot determine the correct answer among the given choices.

Step-by-step explanation:

The question deals with the proportionality of t-shirt sales to the size of the festival audience. At a festival with 1,100 people, the band sold 21 t-shirts. Assuming a direct proportion between the number of festival attendees and the number of t-shirts sold, we can calculate the expected sales for a 3,800-person festival using a simple cross-multiplication: 1,100 people -- 21 t-shirts 3,800 people -- x t-shirts

To find x, we solve for x in the proportion 21/1,100 = x/3,800, which gives us x = (21 * 3,800) / 1,100.

After performing the calculation, we find x to be approximately 73. This is not an option provided in the multiple-choice answers, which suggests a discrepancy or a context-specific factor not accounted for in the calculation. Without additional information, we cannot determine why the calculated number does not fit the provided options and thus, cannot confidently choose one of the supplied answers (a) 121, (b) 41, (c) 140, or (d) 130.