The average temperature of the town in the first four days of a month was 57 degrees.
The average temperature of the town in the first four days of a month was 57 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Answer/Solution
96 degrees
Steps/Work
Explanation:
Sum of temperatures on 1st, 2nd, 3rd and 4th days = (57 * 4) = 228 degrees ... (1)
Sum of temperatures on 2nd, 3rd, 4th and 5th days - (60 * 4) = 240 degrees ....(2)
Subtracting (1) From (2), we get :
Temp, on 5th day - Temp on 1st day = 12 degrees.
Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.
Then, 8x - 7x = 12 or x = 12. Answer: E
Temperature on the 5th day = 8x = 96 degrees.
Sum of temperatures on 1st, 2nd, 3rd and 4th days = (57 * 4) = 228 degrees ... (1)
Sum of temperatures on 2nd, 3rd, 4th and 5th days - (60 * 4) = 240 degrees ....(2)
Subtracting (1) From (2), we get :
Temp, on 5th day - Temp on 1st day = 12 degrees.
Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.
Then, 8x - 7x = 12 or x = 12. Answer: E
Temperature on the 5th day = 8x = 96 degrees.