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antoniya [11.8K]
3 years ago
15

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]3 years ago
4 0

Answer:

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

Step-by-step explanation:

ratio and proportion

<u>420 miles </u>   =   <u> 357 miles</u>

18 gallons          x gallons

420 (x) = 357 (18)

x = 6426 / 420

x = 15.3 gallons

gladu [14]3 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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