High School

A train with 150 freight cars is used to haul two types of grain. Each freight car can haul 97.3 tons of barley or 114 tons of corn. Let \( n \) represent the number of freight cars containing corn. If 90 freight cars contain corn, what is the total weight of the grain in the train?

Answer :

Final answer:

The total weight of the train with 90 freight cars carrying corn and the rest carrying barley is 16098 tons.

Explanation:

The question is asking about the total weight calculation of a train with 150 freight cars that carries two types of grain: barley and corn. Since each freight car can carry 97.3 tons of barley or 114 tons of corn and 90 cars are carrying corn, the weight of the corn is 90 cars * 114 tons/car = 10260 tons. The remaining 60 cars are therefore carrying barley, and this weight can be calculated as 60 cars * 97.3 tons/car = 5838 tons. Combined, the total weight of the train is 10260 tons (corn) + 5838 tons (barley), for a total of 16098 tons.

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