Question

Isaac's car used 7 gallons to travel 308 miles. How many gallons of gas would he need to travel 748 miles?

Answer 1

Isaac needs 17 gallons of gas to travel 748 miles.

Explanation:

This problem is giving you the ratio of gallons to miles.

⭐A ratio is a fraction that compares two different units

⭐ In this problem, the units are gallons and miles

In order to find how many gallons Isaac needs to travel 748 miles, we need to create a proportion.

⭐ A proportion is when you make two ratios equal to each other to solve for one unit

First, let's identify the ratios in this situation. Let x = the number of gallons needed to travel 748 miles.

Ratio 1: 7 gallons/ 308 miles

Ratio 2: x gallons/748 miles

Now, set these two ratios equal to each other. Remember to keep the same units as either the numerator or denominator.

`(7)/(308) = (x)/(748)`

Next, cross multiply to solve for x.

`7(748) = 308x\\5,236 = 308x\\x = 17`

∴ Isaac needs 17 gallons of gas to travel 748 miles!

Answer 2

Answer: 17 gallons of gas to travel 748 miles

Explanation:

First, we have to find how many miles he can travel with 1 gallon of gas

Take 308 divided by 7 = 44 miles of travel per gallon of gas

Then take 748 divided by 44 = 17 gallons

So, it takes 17 gallons of gas to travel 748 miles