Question

A van drove 241. 92 miles on 10. 8 gallons of gas. How far could the van drive on a full tank of 16. 2 gallons of gas? Drag and drop a number to correctly complete the statement. The van could drive Response area miles on a full tank of gas.

Answer 1

You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

How to find the distance the van can travel per gallon of gas?

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

$10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \: gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles$

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

$\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons = 16.2 \times 22.4 \: miles = 362.88 \: miles$

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

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