The scoop of an excavator holds 27 ft3 of sand. If the capacity of a freight car is 40 tons of sand and we know that 1 ft3 of sand weighs 0.5 tons, how many freight cars can be filled with 120 loads?

Respuesta :

27ft³=x tons
1ft³=0.5 tons

[tex] \frac{27cubicfeet}{x_t_o_n_s} = \frac{1cubic foot}{0.5 tons} [/tex]

Cross multiply
1x=13.5tons
x=13.5tons

So one scoop/load carries 13.5 tons of sand. Lets see how many 120 loads can carry.

13.5tons*120loads=1620 tons of sand

Now lets see how freight cars it would take to hold 1620 tons of sand

1620/40=40.5 freight cars

Since you can't have .5 of a freight car, lets round 40.5 up to 41

Answer=41 freight cars

Answer:

40.5

Step-by-step explanation:

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