A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons of gas. The vacation they have planned will cover 1,836 miles. How many gallons of gas will that take?

86.4 gallons of gas

Step-by-step explanation:

1836/340=5.4

5.4 * 16 = 86.4

It would take 86.4 gallons of gas to go 1,836 miles.

Step-by-step explanation:

the situation can be explained by the equation 16x=340, where x is how many miles the car can go in one gallon. divide both sides by 16 to get that answer

x=340/16 = 21.25

Now the other problem can be expressed by the equation 21.25y=1836, where y is the amount of gallons it would take to go 1,836 miles.

divide both sides by 21.25 to get the amount of gallons

y = 1836 / 21.25 = 86.4.