Ignorant of the local custom of offerings strangers outrageous prices and then negotiating down, the clothing maker accepts the initial price 400 tepizes/m^2. The price of this cloth in New York is 120 dollars/yard^2. If the clothing maker bought 500 m^2 of this fabric, how much money did he lose? Use 1 tepiz= 0.625 dollar and 0.9144m = 1 yard.

98 $53,240.597

15 $53,240.60

To find out how much money the clothing maker lost, we need to calculate the difference between the price he paid and the price of the fabric in New York.

Step 1: Convert the price in New York to tepizes.
Since 1 tepiz = 0.625 dollar, we can calculate the price in tepizes as follows:
120 dollars/yard^2 * (1 tepiz/0.625 dollar) = 192 tepizes/yard^2.

Step 2: Convert the price in yard^2 to m^2.
Since 0.9144 m = 1 yard, we can calculate the price in m^2 as follows:
192 tepizes/yard^2 * (0.9144 m/1 yard)^2 = 154.9576 tepizes/m^2.

Step 3: Calculate the money lost.
The clothing maker initially paid 400 tepizes/m^2 for the fabric, but if he had bought it in New York, he would have paid only 154.9576 tepizes/m^2. Therefore, he lost:
(400 tepizes/m^2 - 154.9576 tepizes/m^2) * 500 m^2 = 122,521.2 tepizes.

To recap, the clothing maker lost 122,521.2 tepizes.