Question

2.For one shipment, trucks are loaded first and cars are loaded afterwards. (Even though trucks are bulkierthan cars, a shipment can consist of all trucks as long as it is within the weight limit.)Find the number of cars that can be shipped if the cargo already has:a.480 trucksb.1,500 trucksc.2,736 trucksd.t trucks (solve equation for c)

Answer 1

Let the cars weigh 3. 6 tons each

Let the trucks weigh 7. 5 tons each

Let c be the number of cars

Let t be the number of trucks

3. 6 c + 7. 5 t = 21600

a) when t = 480

3. 6 c + 7. 5 ( 480 ) = 21600

3. 6 c + 3600 = 21600

3. 6 c = 21600 - 3600

3.6 c = 18000

Divide both sides by 3. 6, we have:

c = 18000 / 3. 6

c = 5000 cars

b ) when t = 1500

3. 6 c + 7. 5 ( 1500 ) = 21600

3. 6 c + 11250 = 21600

3. 6 c = 21600 - 11250

3. 6 c = 10350

Divide both sides by 3.6 , we have:

c = 2875 cars

c ) when t = 2736

3. 6 c + 7. 5 ( 2736 ) = 21600

3. 6 c + 20520 = 21600

3.6 c = 21600 - 20520

3.6 c = 1040

Divide both sides by 3. 6, we have :

c = 300 cars

d) when t = t trucks

3. 6 c + 7. 5 t = 21600

3. 6 c = 21600 - 7. 5 t

c = 1 / 3. 6 ( 21600 - 7.5 t )