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Evaluate: $15\frac{1}{3}\%$ of 480 km + $58\frac{1}{3}\%$ of 300 km.

1. 266.6 km
2. 285.5 km
3. 248.6 km
4. 320 km

Correct answer: 248.6 km

Solution

$15\frac{1}{3}\% = \frac{23}{150}$, so its value on 480 km is $480\times\frac{23}{150}=73.6$ km. Also, $58\frac{1}{3}\% = \frac{7}{12}$, so its value on 300 km is $300\times\frac{7}{12}=175$ km. Adding gives $73.6+175=248.6$ km.

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