Answer :
Final answer:
To find the temperature on the fifth day, the temperature difference between total temperatures for two sets of four days is used along with the given ratio to calculate the temperature, which is A. 64 degrees.
Explanation:
The question asks us to find the temperature on the fifth day given the average temperatures and a ratio. We know that the average temperature for the first four days was 58 degrees, so the total temperature over these days is 4 times 58 = 232 degrees. Similarly, the average temperature for the second, third, fourth, and fifth days was 60 degrees, so their total is 4 imes 60 = 240 degrees.
To find the temperature on the first and fifth days, we use the given ratio of 7:8. If we call the temperature on the first day 7x and the temperature on the fifth day 8x, we know that 8x (fifth day's temperature) - 7x (first day's temperature) equals the difference in the total temperatures calculated earlier, which is 240 - 232 = 8 degrees. So, x = 8 degrees. Therefore, the temperature on the fifth day is 8x = 8 imes 8 = 64 degrees.
Thus, the temperature on the fifth day is 64 degrees, which corresponds to option A.
