Question

Mrs. Chang’s car has enough gas to travel 12 miles. She wants to travel 6 2/3 miles to the grocery store and then 4 1/2 miles to the post office. Can Mrs. Chang make both trips before having to refill her car’s gas tank?

Answer 1

Mrs. Chang can make both trips, to the grocery store and the post office, totaling 11 1/6 miles, without refilling her gas tank since her car has a gas range of 12 miles.

Step-by-step explanation:

The question asks whether Mrs. Chang can make two trips totaling a certain distance without needing to refill her car's gas tank. To solve this, we need to add the distances for each leg of the trips and compare the total with the car's gas range.

First, we'll add the distances together:

• Distance to grocery store: 6 2/3 miles
• Distance to the post office: 4 1/2 miles

Converting these to improper fractions for easier addition, we get:

• 6 2/3 miles = 20/3 miles
• 4 1/2 miles = 9/2 miles

Now we add them:

20/3 miles + 9/2 miles = 40/6 miles + 27/6 miles = 67/6 miles

67/6 miles is equivalent to 11 1/6 miles.

Finally, we compare this to the car's gas range:

Mrs. Chang's car range: 12 miles

Since 11 1/6 miles is less than 12 miles, Mrs. Chang can make both trips to the grocery store and post office before needing to refill her gas tank.