This is a great multi-step unit conversion problem, and it's all about staying organized with your conversions. Rushing through the steps is where most people drop the ball.
Step 1: Convert kilometers to miles.
We're told 5 miles ≈ 8 kilometers.
26 km × (5 miles / 8 km) = 130/8 = 16.25 miles.
Step 2: Convert miles to quarter miles.
The fare is charged per quarter mile, so we need to know how many quarter-mile units are in 16.25 miles.
16.25 miles ÷ 0.25 = 65 quarter miles.
Since 16.25 divides evenly into quarter miles, there's no leftover fraction to round up here.
Step 3: Calculate the cost in US dollars.
65 quarter miles × $0.55 per quarter mile = $35.75.
Step 4: Convert dollars to euros.
We're told 1 euro = 1.30 US dollars.
$35.75 ÷ 1.30 = 27.5 euros.
Answer: A (27.5)
Common trap: Many students flip the euro conversion and multiply by 1.30 instead of dividing — that would give you ~$46.50, which isn't even an answer choice (a good sign you went the wrong way). Remember: since 1 euro is worth MORE than 1 dollar, the euro amount should always be LESS than the dollar amount.
Takeaway: On multi-step conversion problems, always write out your conversion factors as fractions and make sure units cancel — it's the most reliable way to avoid flipping a ratio under time pressure.