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2 years ago

Chang drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would he need to drive 357 miles?

Mathematics

2 answers:

qwelly [4]2 years ago

4 0

Answer:

<h2>15.3 gallons</h2><h2 />

Step-by-step explanation:

ratio and proportion

420 miles = 357 miles

18 gallons x gallons

420 (x) = 357 (18)

x = 6426 / 420

x = 15.3 gallons

gladu [14]2 years ago

3 0

Answer:

$\huge\boxed{15.3 \ \text{gallons}}$

Step-by-step explanation:

We know that Chang drove 420 miles on 18 gallons of gas.

This can be represented as a ratio, $\frac{\text{miles}}{\text{gallons of gas}}$ .

$\frac{420}{18}$

We can also represent 357 miles over an unknown gas quantity as a ratio.

$\frac{357}{x}$

Since he uses a proportional amount of gas to his miles, we can set these two proportions equal to each other to find the value of x.

$\frac{420}{18} = \frac{357}{x}$

To find the value of x, we can use the cross products property.

$357 \cdot 18 = 6426\\\\6426 \div 420 = 15.3$

So he needs 15.3 gallons of gas to drive 357 miles.

Hope this helped!

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