Identify angles at a point and one whole turn - Reasoning

The problem involves interpreting a pie chart to determine the number of yellow t-shirts sold at the last festival of art. According to the given information, each degree on the pie chart represents two t-shirts sold. The angles representing the sales of different coloured t-shirts are provided, with yellow t-shirts having an unspecified angle. To find the angle corresponding to the yellow t-shirts, one must understand that the angles at a point sum up to 360 degrees, which constitutes one full turn. The known angles for blue and two other colours are 59 degrees and 73 degrees, respectively. By subtracting these from 180 degrees, we find the remaining angle for yellow t-shirts, which is then doubled as per the conversion rate (1 degree equals two t-shirts). The calculation reveals that 96 yellow t-shirts were sold. The question also states that the number of blue t-shirts sold equals the total number of all other t-shirts combined, emphasizing the equal partition of the pie chart between blue and the other colours.

To explain the answer, one would illustrate the steps taken to solve the problem. First, acknowledge the total degrees at a point (360 degrees) and that a straight line, or half a turn, is 180 degrees. Then, subtract the given angles for the other t-shirt colours from 180 degrees to find the angle for the yellow t-shirts. Once the angle for the yellow t-shirts is determined, apply the conversion rate to calculate the number of t-shirts sold. In this case, the angle for the yellow t-shirts is 48 degrees, which means 96 yellow t-shirts were sold. This reasoning process allows us to conclude the quantity of yellow t-shirts sold and understand the relationship between angles at a point and the distribution represented on the pie chart.