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linear equations word problem on proportions: problem type 1 jose drove…

Question

linear equations
word problem on proportions: problem type 1
jose drove 240 miles using 9 gallons of gas. at this rate, how many gallons of gas would he need to drive 216 miles?
gallons

Explanation:

Step1: Set up proportion

Let \( x \) be gallons for 216 miles. Proportion: \(\frac{240}{9}=\frac{216}{x}\)

Step2: Cross - multiply

\( 240x = 9\times216 \)
\( 240x = 1944 \)

Step3: Solve for \( x \)

\( x=\frac{1944}{240}=8.1 \)

Answer:

8.1