Let's break down the questions one by one:
-
Total cost to fill up your tank:
- You pumped 22.35 gallons at a cost of $1.79 per gallon.
- Total cost = 22.35 gallons * $1.79/gallon = $40.01.
- Correct answer: $40.01.
-
How much money do you still owe?
- Total cost of gas is $40.01.
- Your friend gave you $31.56.
- Money still owed = Total cost - Money given = $40.01 - $31.56 = $8.45.
- Correct answer: $8.45.
-
How many miles will you be driving?
- You need to drive 448.6 miles to reach your destination and you are driving the first half.
- Miles driven = 448.6 miles / 2 = 224.3 miles.
- Correct answer: 224.3 miles.
-
Total time spent driving:
- You drove for 5/6 hour, your second friend for 2 1/8 hours, and the third friend for 3 1/2 hours.
- Convert time to improper fractions for easier summation:
- 5/6 remains as 5/6.
- 2 1/8 = 17/8 (since 2 * 8 + 1 = 17).
- 3 1/2 = 7/2 (since 3 * 2 + 1 = 7).
- Common denominator for these fractions is 24.
- 5/6 = 20/24,
- 17/8 = 51/24,
- 7/2 = 84/24.
- Now sum them:
- Total driving time = 20/24 + 51/24 + 84/24 = (20 + 51 + 84) / 24 = 155/24.
- Convert 155/24 to mixed number:
- 155 ÷ 24 = 6 remainder 11, therefore it's 6 11/24 hours.
- Correct answer: 6 11/24 hours.
Here's a summary of the answers:
- $40.01
- $8.45
- 224.3 miles
- 6 11/24 hours