4. The weight of a motorcycle is 100 kg less than one-fourth of the weight of a rickshaw. If the weight of the motorcycle is 180 kg, find the weight of the rickshaw.
Let's denote the weight of the rickshaw as "R" in kilograms.According to the given information, the weight of the motorcycle is 100 kg less than one-fourth of the weight of the rickshaw:Motorcycle weight = (1/4) * Rickshaw weight - 100Given that the weight of the motorcycle is 180 kg:180 = (1/4) * R - 100Now, let's solve for the weight of the rickshaw, "R":180 + 100 = (1/4) * R280 = (1/4) * RTo solve for R, multiply both sides by 4:R = 280 * 4R = 1120So, the weight of the rickshaw is 1120 kg.
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Answer:
Let's denote the weight of the rickshaw as "R" in kilograms.According to the given information, the weight of the motorcycle is 100 kg less than one-fourth of the weight of the rickshaw:Motorcycle weight = (1/4) * Rickshaw weight - 100Given that the weight of the motorcycle is 180 kg:180 = (1/4) * R - 100Now, let's solve for the weight of the rickshaw, "R":180 + 100 = (1/4) * R280 = (1/4) * RTo solve for R, multiply both sides by 4:R = 280 * 4R = 1120So, the weight of the rickshaw is 1120 kg.