5. A contoiner is carrying \( 177,12 \mathrm{~kg} \) of cargo. a) If it is filled with 27 boxes of canned food, how much does each box weigh? b) If each can weighs 410 g , how many cons are there in each box? ffirst convert from grams to kilograms) 6. If you take the bus to school you can work out the carbon dioxide emissions from a bus, Cabon dioxide emission ( kg ) = Distance ( km\( ) \times 0,178 \) a) Work out the carbon dioxide emission for a trip of \( 13,5 \mathrm{~km} \). Give your answer to two decimal places. b) A school bus holds 65 passengers. Work out the carbon diaxide emission per passenger. Give your answer to three decimal places.
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To find out how much each box weighs, you simply divide the total weight of the cargo by the number of boxes. For this, you can use the formula: Weight per box = Total weight / Number of boxes. Plugging in the numbers gives you \( 177.12 \, \text{kg} / 27 \approx 6.56 \, \text{kg} \) per box. So, each box weighs about 6.56 kg. Now, to figure out how many cans are in each box, convert the weight of each can to kilograms first: \( 410 \, \text{g} = 0.410 \, \text{kg} \). Then, simply divide the weight of each box by the weight of one can: \( 6.56 \, \text{kg} / 0.410 \, \text{kg} \approx 16 \) cans per box. So, you have approximately 16 cans in each box! For the carbon dioxide emissions from taking the bus for \( 13.5 \, \text{km} \), you can calculate it using the formula: Emission = Distance × 0.178. Plugging in the figures gives you \( 13.5 \, \text{km} \times 0.178 \, \text{(kg/km)} \approx 2.403 \, \text{kg} \). Thus, the carbon dioxide emission for the trip is approximately 2.40 kg when rounded to two decimal places. Now, to find the emission per passenger on a school bus that holds 65 passengers, take the total emission of 2.403 kg and divide it by the number of passengers: \( 2.403 \, \text{kg} / 65 \approx 0.037 \, \text{kg} \). So, the carbon dioxide emission per passenger is about 0.037 kg when rounded to three decimal places. Eco-friendly travel just got a little more personal!