Problem Solving: Work Backward

At 12 noon, Leslie recorded the temperature as 56 degree Fahrenheit. The temperature had increased by 8 degree Fahrenheit from 10 a.m. The temperature at 8 a.m. was 2 degree Fahrenheit warmer than it was at 10 a.m. What was the temperature at 8 a.m.

draw a line, marking off the times of

8:00 am, 10:00 am, and noon (12:00)

"At 12 noon, Leslie recorded the temperature as 56 degree Fahrenheit"
----> put 56 over 12:00
"The temperature had increased by 8 degree Fahrenheit from 10 a.m. "
---> what is 56-8 ?
put 48 over 10:00
"The temperature had increased by 8 degree Fahrenheit from 10 a.m. "
--- put 50 over 8:00

All done

62 F

To find the temperature at 8 a.m., we can work backward step by step:

1. Start with the temperature at 12 noon, which is 56 degrees Fahrenheit.
2. We know that the temperature increased by 8 degrees Fahrenheit from 10 a.m. to 12 noon. This means the temperature at 10 a.m. was 56 - 8 = 48 degrees Fahrenheit.
3. We also know that the temperature at 8 a.m. was 2 degrees Fahrenheit warmer than at 10 a.m. This means the temperature at 8 a.m. was 48 + 2 = 50 degrees Fahrenheit.

Therefore, the temperature at 8 a.m. was 50 degrees Fahrenheit.