City A received 241/2inches of snow,City B received 202/5 inches of snow,and City C received 17 3/10 inches of snow. The meteorologist lost the data for City D; however, she knows the total for all 4 cities was 93 inches. How much snow did City D receive?
To find out how much snow City D received, we can subtract the total snowfall of City A, City B, and City C from the total snowfall of all four cities.
Total snowfall of City A = 24 1/2 inches
Total snowfall of City B = 20 2/5 inches
Total snowfall of City C = 17 3/10 inches
To add mixed numbers, let's convert them to improper fractions:
Total snowfall of City A = 49/2 inches
Total snowfall of City B = 102/5 inches
Total snowfall of City C = 173/10 inches
Now, we need to add these fractions:
(49/2) + (102/5) + (173/10) = (245/10) + (204/10) + (173/10) = (622/10) = 311/5
To find the snowfall of City D, we subtract the total snowfall from the snowfall of the other three cities:
Total snowfall of all four cities = 93 inches
Total snowfall of City D = Total snowfall of all four cities - Total snowfall of City A, B, and C
Total snowfall of City D = 93 - 311/5
To subtract mixed numbers, let's convert them to improper fractions:
Total snowfall of City D = 93 - (1555/5)
Now, let's simplify this subtraction:
Total snowfall of City D = 93 - 311
Total snowfall of City D = -218
Therefore, City D received -218 inches of snow, which implies that it may not have received any snow, or there may have been an error in the data.